The earth hasn't had animals and humans on it for its whole life-- in fact, the earth has survived for millions of years without animals and humans. Most of the earth's life, has been without animals and humans! If for some reason there was a mass extinction (like when all the dinosaurs died), the earth would continue to be Earth.

The matter that makes up the Earth would still make up the Earth. Earth has existed for long before animals (including humans) have existed, and it still was the Earth then.