The phrase "incalculable amount" means that something cannot be determined, measured, or estimated accurately because it is so great or numerous. Full definition
It may be up for debate whether matter falling in gets stretched or burned, but there's no doubt that throughout the cosmos incalculable amounts of gas and dust are flowing across the event horizons of black holes. (sciencenews.org)
It's not just extending lives that I'm advocating; it's the elimination of the almost incalculable amount of suffering — experienced not only by the elderly themselves, of course, but by their loved ones and caregivers — that aging currently visits upon us. (discovermagazine.com)
Incalculable amounts of people find themselves disappointed by their dating experiences and where do they turn — the Internet. (dailydatingadvice.com)