964786792320 has 2048 divisors, whose sum is σ = 4086319104000. Its totient is φ = 213093974016.

The previous prime is 964786792253. The next prime is 964786792337. The reversal of 964786792320 is 23297687469.

964786792320 is a `hidden beast` number, since 96 + 478 + 6 + 79 + 2 + 3 + 2 + 0 = 666.

It is a super-2 number, since 2×964786792320² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7042239292 + ... + 7042239428.

It is an arithmetic number, because the mean of its divisors is an integer number (1995273000).

Almost surely, 2^964786792320 is an apocalyptic number.

964786792320 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 964786792320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043159552000).

964786792320 is an abundant number, since it is smaller than the sum of its proper divisors (3121532311680).

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

964786792320 is a wasteful number, since it uses less digits than its factorization.

964786792320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 54867456, while the sum is 63.

The spelling of 964786792320 in words is "nine hundred sixty-four billion, seven hundred eighty-six million, seven hundred ninety-two thousand, three hundred twenty".