  A numerical renormalization group technique recently developed by one of us
is used to analyse the Coulomb pseudopotential (${\mu^*}$) in ${{\rm C}_{60}}$
for a variety of bare potentials. We find a large reduction in ${\mu^*}$ due to
intraball screening alone, leading to an interesting non-monotonic dependence
of ${\mu^*}$ on the bare interaction strength.
  We find that ${\mu^*}$ is positive for physically reasonable bare parameters,
but small enough to make the electron-phonon coupling a viable mechanism for
superconductivity in alkali-doped fullerides. We end with some open problems.
