What does it matter how many backlinks you have? Sure it's nice to brag about them after a few beers, but I wouldn't call that "crucial."
The number of backlinks is basically meaningless. To know if your backlinks have any effect on your ranking in a certain search engine, you would need to know if that particular search engines knows about the link and if so, how much value it assigns to it. The former is relatively easy to find out, the latter next to impossible.
10,000 low-quality links may do nothing for your ranking, while 10 high-quality links may bring you to the top for some search terms. As far as backlinks are concerned, quality is key, not quantity.
Then you might also be interested in how much traffic those backlinks actually bring you. Again, 10,000 low-quality links may not do anything for you, while 10 good ones may make all the difference. But if that's what you want to know, your website statistics will tell you. No need to guess based on number of backlinks.