957980264670 has 576 divisors, whose sum is σ = 3210819393600. Its totient is φ = 196071321600.

The previous prime is 957980264627. The next prime is 957980264677. The reversal of 957980264670 is 76462089759.

957980264670 is a `hidden beast` number, since 9 + 5 + 79 + 80 + 26 + 467 + 0 = 666.

957980264670 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 957980264598 and 957980264607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (957980264677) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 77998930 + ... + 78011210.

It is an arithmetic number, because the mean of its divisors is an integer number (5574339225).

Almost surely, 2^957980264670 is an apocalyptic number.

957980264670 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 957980264670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1605409696800).

957980264670 is an abundant number, since it is smaller than the sum of its proper divisors (2252839128930).

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

957980264670 is a wasteful number, since it uses less digits than its factorization.

957980264670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12377 (or 12363 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 957980264670 in words is "nine hundred fifty-seven billion, nine hundred eighty million, two hundred sixty-four thousand, six hundred seventy".