Starting from a multipole expansion of intra-molecular Coulomb interactions, we present configuration interaction calculations of the molecular energy terms of the hole configurations (h + u ) m , m = 2 − 5, of C m+ 60 cations, of the electron configurations t n 1u , n = 2 − 4, of the C n− 60 anions, and of the exciton configurations (h + u t − 1u ), (h + u t − 1g ) of the neutral C60 molecule. The ground state of C 2− 60 is either 3 T1g or 1 Ag, depending on the energy separation between t1g and t1u levels. There are three close (∼0.03 eV) low lying triplets 3 T1g, 3 Gg, 3 T2g for C 2+ 60 , and three quartets 4 T1u, 4 Gu, 4 T2u for C 3+ 60 , which can be subjected to the Jahn-Teller effect. The number of low lying nearly degenerate states in largest for m = 3 holes. We have calculated the magnetic moments of the hole and electron configurations and found that they are independent of molecular orientation in respect to an external magnetic field. The coupling of spin and orbital momenta differs from the atomic case. We analyze the electronic dipolar transitions (t1u) 2 → t1ut1g and (t1u) 3 → (t1u) 2 t1g for C 2− 60 and C 3− 60 . Three optical absorption lines ( 3 T1g → 3 Hu, 3 T1u, 3 Au) are found for the ground level of C 2− 60 and only one line ( 4 Au → 4 T1g) for the ground state of C 3− 60 . We compare our results with the experimental data for C n− 60 in solutions and with earlier theoretical studies.