Even though it might not look like much when it's so far away, the Moon is pretty huge. In fact, if it was a little closer—as close as the ISS for example—it would monopolize the entire sky.
Yetipc1, apparently a serious astronomy nerd, took the liberty of figuring out what it would look like if ol' Luna was a mere 270 miles out, instead of the 238,855 miles it actually is. Suffice it to say it looks a bit...different. Destiny, anyone?