957328990992 has 800 divisors, whose sum is σ = 3278890137600. Its totient is φ = 266555059200.

The previous prime is 957328990979. The next prime is 957328990997. The reversal of 957328990992 is 299099823759.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 957328990992.

It is not an unprimeable number, because it can be changed into a prime (957328990997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1769554242 + ... + 1769554782.

It is an arithmetic number, because the mean of its divisors is an integer number (4098612672).

Almost surely, 2^957328990992 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 957328990992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1639445068800).

957328990992 is an abundant number, since it is smaller than the sum of its proper divisors (2321561146608).

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

957328990992 is a wasteful number, since it uses less digits than its factorization.

957328990992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 198404640, while the sum is 72.

The spelling of 957328990992 in words is "nine hundred fifty-seven billion, three hundred twenty-eight million, nine hundred ninety thousand, nine hundred ninety-two".