975631290768 has 120 divisors (see below), whose sum is σ = 2833118361528. Its totient is φ = 313158721536.

The previous prime is 975631290763. The next prime is 975631290773. The reversal of 975631290768 is 867092136579.

975631290768 is a `hidden beast` number, since 9 + 7 + 563 + 1 + 2 + 9 + 0 + 7 + 68 = 666.

It is an interprime number because it is at equal distance from previous prime (975631290763) and next prime (975631290773).

It can be written as a sum of positive squares in 4 ways, for example, as 255421073664 + 720210217104 = 505392^2 + 848652^2 .

It is not an unprimeable number, because it can be changed into a prime (975631290763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 427071 + ... + 1460702.

Almost surely, 2^975631290768 is an apocalyptic number.

It is an amenable number.

975631290768 is an abundant number, since it is smaller than the sum of its proper divisors (1857487070760).

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

975631290768 is a wasteful number, since it uses less digits than its factorization.

975631290768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887921 (or 1887912 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 975631290768 in words is "nine hundred seventy-five billion, six hundred thirty-one million, two hundred ninety thousand, seven hundred sixty-eight".