964795392000 has 1344 divisors, whose sum is σ = 3929554556928. Its totient is φ = 225607680000.

The previous prime is 964795391999. The next prime is 964795392019. The reversal of 964795392000 is 293597469.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3142655847 + ... + 3142656153.

It is an arithmetic number, because the mean of its divisors is an integer number (2923775712).

Almost surely, 2^964795392000 is an apocalyptic number.

964795392000 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 964795392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964777278464).

964795392000 is an abundant number, since it is smaller than the sum of its proper divisors (2964759164928).

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

964795392000 is a wasteful number, since it uses less digits than its factorization.

964795392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 964795392000 in words is "nine hundred sixty-four billion, seven hundred ninety-five million, three hundred ninety-two thousand".