975670375680 has 4320 divisors, whose sum is σ = 5115689187840. Its totient is φ = 173903708160.

The previous prime is 975670375679. The next prime is 975670375717. The reversal of 975670375680 is 86573076579.

975670375680 is a `hidden beast` number, since 9 + 7 + 5 + 67 + 0 + 3 + 7 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 12350257881 + ... + 12350257959.

It is an arithmetic number, because the mean of its divisors is an integer number (1184187312).

Almost surely, 2^975670375680 is an apocalyptic number.

975670375680 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 975670375680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557844593920).

975670375680 is an abundant number, since it is smaller than the sum of its proper divisors (4140018812160).

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

975670375680 is a wasteful number, since it uses less digits than its factorization.

975670375680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 66679200, while the sum is 63.

The spelling of 975670375680 in words is "nine hundred seventy-five billion, six hundred seventy million, three hundred seventy-five thousand, six hundred eighty".