The geometrical structures, electronic properties, and stabilities of the unconventional fullerene derivatives C64X6 (X = H, F, Cl) have been systematically studied by the first-principle calculations based on the density functional theory. The fullerene derivatives 1911(2)-C64X6 generated from the pineapple-shaped C64X4 are predicted to possess the lowest energies. The other two X atoms are added to the carbon atoms with the highest local strain assessed by the pyramidalization angles. The calculations of the nucleus-independent chemical shifts suggest that the aromaticity of C64X6 affects the stability order of the derivative isomers. To address why C64H6 was not observed in the experimental study of Wang et al. (J. Am. Chem. Soc. 2006, 128, 6605) and if the halogenated derivatives C64X6 (X = F, Cl) can be synthesized, thermochemical analysis of the reaction C64X4 + X-2 -> C64X6 was also performed. The results indicate that the formation of C64H6 and C64Cl6 is not favored at high temperatures. The former may be a reason why C64H6 was not found in the experiment. In sharp contrast, the Gibbs free energy change to form C64H6 is found to be -23.29 kcal/mol at 2000 K, suggesting that this compound may be formed and detected in experiments. The NMR and IR spectra of 1911(2)-C64F6 are sequentially calculated and presented to facilitate future experimental identification.