970487931796992 has 1920 divisors, whose sum is σ = 3501494518579200. Its totient is φ = 252806941900800.

The previous prime is 970487931796951. The next prime is 970487931796993. The reversal of 970487931796992 is 299697139784079.

970487931796992 is a `hidden beast` number, since 9 + 7 + 0 + 487 + 9 + 31 + 7 + 9 + 6 + 9 + 92 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (970487931796993) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 557431321242 + ... + 557431322982.

It is an arithmetic number, because the mean of its divisors is an integer number (1823695061760).

Almost surely, 2^{970487931796992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 970487931796992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1750747259289600).

970487931796992 is an abundant number, since it is smaller than the sum of its proper divisors (2531006586782208).

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

970487931796992 is a wasteful number, since it uses less digits than its factorization.

970487931796992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2288 (or 2269 counting only the distinct ones).

The product of its (nonzero) digits is 23332385664, while the sum is 90.

The spelling of 970487931796992 in words is "nine hundred seventy trillion, four hundred eighty-seven billion, nine hundred thirty-one million, seven hundred ninety-six thousand, nine hundred ninety-two".