Is there anything more irritating than cockroaches? There are over 4,000 species of cockroaches in the world, and the ones we have here in Arkansas are some of the biggest. They eat everything, they can live for a week without a head, and they can run up to 3 miles per hour. There are even rumors that they can survive a nuclear war. In our centuries-long war with cockroaches, they seem to have the upper hand!