975104900676 has 81 divisors (see below), whose sum is σ = 2547404447133. Its totient is φ = 314490719520.

The previous prime is 975104900657. The next prime is 975104900677. The reversal of 975104900676 is 676009401579.

The square root of 975104900676 is 987474.

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

975104900676 is a `hidden beast` number, since 9 + 75 + 10 + 490 + 0 + 6 + 76 = 666.

975104900676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 3303260676 + 971801640000 = 57474^2 + 985800^2 .

It is not an unprimeable number, because it can be changed into a prime (975104900677) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 183667510 + ... + 183672818.

Almost surely, 2^975104900676 is an apocalyptic number.

975104900676 is the 987474-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 975104900676

975104900676 is an abundant number, since it is smaller than the sum of its proper divisors (1572299546457).

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

975104900676 is an equidigital number, since it uses as much as digits as its factorization.

975104900676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10690 (or 5345 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The spelling of 975104900676 in words is "nine hundred seventy-five billion, one hundred four million, nine hundred thousand, six hundred seventy-six".