...Then wouldn't you have aspirations of ruling the world by now?
I mean, it's a common perception that cockroaches are one of only two things that are likely to survive a nuclear holocaust scenario (the other being tupperware). You're also gifted with the ability to sense miniscule changes in air pressure and possibly chemical composition, so you'd be able to go to ground long before any other animal would realize that the shockwaves were coming.
Population problems? You'd reproduce quickly, especially with fewer roach-killers in the world. Food shortages? You're a scavenger anyway, and in the worst-case scenario, you could eat through anything. (Tupperware included, although it would probably taste terrible.)
In fact, you could probably just hollow out a little Tupperware palace of your own right now and wait for the moment. That would be tantamount to building your own underground bunker, wouldn't it? What could a nuclear winter possibly do to a cockroach who's safe and sound in his or her little Tupperware home?
Sometimes you wonder why the cockroaches who make their homes in the nuclear silos don't just wise up and push the launch buttons. The truth is that, despite your general hardiness, you haven't been able to grasp the concept of alphanumeric passwords quite yet. That, and you haven't quite figured out how to lift those little keys.
Not that it's all bad, mind you. You can wait a bit. You're a cockroach, after all. If some paranoid human decides to jump the gun and turn the planet into uninhabitable wasteland ahead of schedule (uninhabitable except for you, of course), then that's perfectly all right. More tupperware for you.
Perhaps one day, a couple million years after the day, you'll achieve full sentience and look back at the species that provided you with wonderful, wonderful tupperware shortly before blowing themselves to tiny bits. Perhaps, on that day, you'll wonder if you'll ever turn your own advancements upon yourselves, wiping the world clean and paving the way for the next evolutionary stage to take over the planet. Maybe it'll be moss and lichen this time.
But for now, you're just a cockroach. And you dream, deep down inside your little tupperware home.
You dream of the world.