Человеческий род.

Человеческая раса

In addition to all that is written, you can also say "раса людей". I saw this term used in science fiction video games and books.

both род человеческий and человечество are correct. Человеческая раса is just a literal translation. This phrase has appeared in modern literature due to unaccurate translations.

или просто "человечество" =)