Confusion with regards to units in Sinc pulse
The length of the pulse, $T$, would be in units of time (for example, in seconds). The bandwidth would be in units of frequency (for example, in Hz). So

$$[T][\Delta f]=sec\frac{1}{sec}=1$$

That means that $Z$ is a dimensionless quantity. That makes sense, as $Z$ is just a natural number that describes the number of times that something happens (in this case, the number of zero crossings), and should not have units at all.