It is not very easy to draw a fullerene. Are there any fullerene templates in ChemDraw?
In ChemDraw 8, we now include some fullerenes in the Aromatics template. If you don't have at least ChemDraw 8, you can go to www.chemfinder.com, and do a search for C60, for example, you'll get the 2D structure, which you can bring into ChemDraw or Chem3D. Depending on the version of ChemDraw that you have, you may also be able to create your own template file of fullerenes that you find on chemfinder.com.