Hello again Owl Nation!
As you may remember, President Kelly recently talked about expanding the student housing opportunities from approximately 4,069 beds to 10,000 beds, as detailed in this Sun Sentinel report from November 2016. A short recap: there's a big demand for student housing and more housing improves both the college experience and the traffic issues surrounding campus.
This 10k bed number would cover student housing both on and off campus, although it's hard to know how many students are living off-campus; we do know there are roughly 900 beds in the three dedicated student housing complexes off 20th street - University Park has about 600, University View 165 beds, University Square 128 beds, per MHN - so with the ~4,100 on campus we can comfortably say ~5,000 students live on or near FAU.