975315785664 has 112 divisors (see below), whose sum is σ = 2912189166720. Its totient is φ = 285358832640.

The previous prime is 975315785659. The next prime is 975315785669. The reversal of 975315785664 is 466587513579.

975315785664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (975315785659) and next prime (975315785669).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 975315785595 and 975315785604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (975315785669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7900774 + ... + 8023269.

Almost surely, 2^975315785664 is an apocalyptic number.

It is an amenable number.

975315785664 is an abundant number, since it is smaller than the sum of its proper divisors (1936873381056).

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

975315785664 is a wasteful number, since it uses less digits than its factorization.

975315785664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15924098 (or 15924088 counting only the distinct ones).

The product of its digits is 190512000, while the sum is 66.

The spelling of 975315785664 in words is "nine hundred seventy-five billion, three hundred fifteen million, seven hundred eighty-five thousand, six hundred sixty-four".