How to Create a Big Planet with High Resolution?

I am trying to create a big planet that you can walk around on, but also fly away from into space. I thought about using a height map to procedurally generate the terrain, but the heightmap would probably need to be 500 Gigapixels to achieve this level of detail. I want to break the planet up into tiles, and place separate procedurally generated meshes on each one, then blend the meshes together. How can I make these tiles into a spherical shape?

I really need some direction. :confused: