Effect of the breakup on the fusion and elastic scattering of weakly bound projectiles on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mmultiscripts><mml:mi mathvariant="normal">Zn</mml:mi><mml:mprescripts/><mml:none/><mml:mrow><mml:mn>64</mml:mn></mml:mrow></mml:mmultiscripts></mml:math>

We study the behavior of the fusion, breakup, reaction, and elastic scattering of different projectiles on $^{64}\mathrm{Zn}$, at near and above barrier energies. We present fusion and elastic scattering data with the tightly bound $^{16}\mathrm{O}$ and the stable weakly bound $^{6}\mathrm{Li}$, $^{7}\mathrm{Li}$, and $^{9}\mathrm{Be}$ projectiles. The data are analyzed by coupled channel calculations. The total fusion cross sections for these systems are not affected by the breakup process at energies above the barrier. The elastic (noncapture) breakup cross section is important at energies close to and above the Coulomb barrier and increases the reaction cross sections. In addition, we show that the breakup process at near and below barrier energies is responsible for the vanishing of the usual threshold anomaly of the optical potential and gives rise to a new type of anomaly.