793972368000 has 768 divisors, whose sum is σ = 3379497488640. Its totient is φ = 181473177600.

The previous prime is 793972367989. The next prime is 793972368023. The reversal of 793972368000 is 863279397.

It is a super-2 number, since 2×793972368000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 27201414 + ... + 27230586.

It is an arithmetic number, because the mean of its divisors is an integer number (4400387355).

Almost surely, 2^793972368000 is an apocalyptic number.

793972368000 is a gapful number since it is divisible by the number (70) 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 793972368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689748744320).

793972368000 is an abundant number, since it is smaller than the sum of its proper divisors (2585525120640).

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

793972368000 is an equidigital number, since it uses as much as digits as its factorization.

793972368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29224 (or 29190 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 793972368000 in words is "seven hundred ninety-three billion, nine hundred seventy-two million, three hundred sixty-eight thousand".