Modern nanophotonics has witnessed the rise of “electric anapoles”, destructive interferences of electric dipoles and toroidal electric dipoles, actively exploited to cancel electric dipole radiation from nanoresonators. However, the inherent duality in Maxwell equations suggests the intriguing possibility of “magnetic anapoles”, involving a nonradiating composition of a magnetic dipole and a magnetic toroidal dipole. Here, we predict, fabricate, and observe experimentally via a series of dark field spectroscopy measurements a hybrid anapole of mixed electric and magnetic character, with all the dominant multipoles being suppressed by the toroidal terms in a nanocylinder. Remarkably, breaking the spherical symmetry allows us to overlap up to four anapoles stemming from different multipoles with just two tuning parameters. This effect is due to a symmetry-allowed connection between the resonator's multipolar response and its eigenstates. We delve into the physics of such current configurations in the stationary and transient regimes and explore new ultrafast phenomena within sub-picosecond timescales associated with the hybrid anapole dynamics. Based on our theoretical results, we design a non-Huygens metasurface featuring a dual functionality: perfect transparency in the stationary regime and controllable ultrashort pulse beatings in the transient. Besides offering significant advantages with respect to electric anapoles, hybrid anapoles can also play an essential role in developing the novel field of ultrafast dynamic resonant phenomena.