907557264964 has 45 divisors (see below), whose sum is σ = 1853009787741. Its totient is φ = 388913101920.

The previous prime is 907557264961. The next prime is 907557264997. The reversal of 907557264964 is 469462755709.

The square root of 907557264964 is 952658.

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., 22452624964 + 885104640000 = 149842^2 + 940800^2 .

It is a super-2 number, since 2×907557264964² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 907557264896 and 907557264905.

It is not an unprimeable number, because it can be changed into a prime (907557264961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 93355624 + ... + 93365344.

Almost surely, 2^907557264964 is an apocalyptic number.

907557264964 is the 952658-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 907557264964

907557264964 is an abundant number, since it is smaller than the sum of its proper divisors (945452522777).

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

907557264964 is an frugal number, since it uses more digits than its factorization.

907557264964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19474 (or 9730 counting only the distinct ones).

The product of its (nonzero) digits is 114307200, while the sum is 64.

Multiplying 907557264964 by its sum of digits (64), we get a square (58083664957696 = 7621264²).

The spelling of 907557264964 in words is "nine hundred seven billion, five hundred fifty-seven million, two hundred sixty-four thousand, nine hundred sixty-four".