  Glueballs, an old and firm prediction of various QCD approaches (lattice QCD,
bag models, AdS/QCD, effective models, etc.), have not yet been experimentally
confirmed. While for glueballs below $2.6$ GeV some candidates exist, the
situation for heavy glueballs (above $2.6$ GeV) is cloudy. Here, after a brief
review of scalar, tensor, and pseudoscalar glueballs, we present predictions
for the decays of a putative pseudotensor glueball with a lattice predicted
mass of $3.04$ GeV and a putative vector glueball with a lattice predicted mass
of $3.81$ GeV. Moreover, we discuss in general the width of heavy glueballs by
using large-$N_{c}$ arguments: we obtain a rough estimate according to which
the width of a glueball (such as the vector one) is about $10$ MeV. Such a
width would be narrow enough to enable measurement at the future PANDA
experiment.
