Sorry to burst your bubble but they only ever made one as a prototype, the Blackhawk never went into production...
Prototype: If you are referring to the original Sikorsky YUH-60/YUH-60A (S-70A) design model, I believe Sikorsky built 6 airframes (3 FTV's and 2 for ground use funded by the US Army and a 6th FTV Sikorsky funded in-house).
As for the name Black Hawk, it is my understanding that it was the US Army who gave the UH-60A this name and although the 5,000 plus airframes built are all directives of Sikorsky’s original S-70 design, it is also my understanding that only the UH-60 and Int’l S-70A/i/M “Utility Variants” airframes are designated Black Hawk, so that’s got to be well in excess of 3,000 Black Hawk deliveries would it not?
As always, I am happy to stand aside for the Winged S community across the Pond to provide a more accurate answer or clarifications.