When Chuck Norris does a push-up, he actually pushes the Earth down - this and many other facts about the world's greatest action hero must have been on the mind of Flaregames, makers of Nonstop Chuck Norris. It is an action game in which the player takes the role of Chuck Norris's sidekick, and together with the hero fight off bazillion bad guys. The game is free to play, with possible in-game transactions (well, duh), and is available on both Android and iOS.
I have no idea whether the game is good or bad, but I know that its trailer is hilarious, as is always the case with Chuck Norris. Here, see yourself.