Will a c6 fit 360 ford engine?

No, a C6 transmission (Ford's Cruise-O-Matic) will not directly fit a 360 Ford engine. The 360 is a FE (Ford big-block) engine, and the C6 was designed for smaller Ford engines like the 289, 302, and 351 Windsor, and some FE engines, but typically not the 360. The bolt patterns and bellhousing bolt patterns are incompatible. You would need an adapter or a different transmission entirely to mate a 360 to a C6. A C6 is generally paired with a Windsor engine or some FE engines (with correct bellhousing and adapter plates).