6375847201936 has 135 divisors (see below), whose sum is σ = 13335534356313. Its totient is φ = 2952483448320.

The previous prime is 6375847201909. The next prime is 6375847201993. The reversal of 6375847201936 is 6391027485736.

It is a happy number.

The square root of 6375847201936 is 2525044.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4963894880400 + 1411952321536 = 2227980^2 + 1188256^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12190912171 + ... + 12190912693.

It is a 2-persistent number, because it is pandigital, and so is 2⋅6375847201936 = 12751694403872, but 3⋅6375847201936 = 19127541605808 is not.

Almost surely, 2^{6375847201936} is an apocalyptic number.

6375847201936 is the 2525044-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6375847201936

6375847201936 is an abundant number, since it is smaller than the sum of its proper divisors (6959687154377).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6375847201936 is an frugal number, since it uses more digits than its factorization.

6375847201936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 61.

The spelling of 6375847201936 in words is "six trillion, three hundred seventy-five billion, eight hundred forty-seven million, two hundred one thousand, nine hundred thirty-six".