  The adsorption of $^4$He inside and outside a single fullerene C$_{60}$ is
studied. A physisorption potential is proposed. The energetics and structural
features of C$_{60}$-$^4$He$_N$ clusters are investigated. Particular attention
is paid to the growth of the highly pronounced layered density profile. The
evolution towards bulk liquid and surface thickness at the free interface are
discussed.
