792316418281920 has 840 divisors, whose sum is σ = 3290143779459504. Its totient is φ = 180460881248256.

The previous prime is 792316418281891. The next prime is 792316418281951. The reversal of 792316418281920 is 29182814613297.

792316418281920 is a `hidden beast` number, since 7 + 9 + 2 + 3 + 1 + 6 + 418 + 28 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 358330464 + ... + 360534816.

Almost surely, 2^{792316418281920} is an apocalyptic number.

792316418281920 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 792316418281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645071889729752).

792316418281920 is an abundant number, since it is smaller than the sum of its proper divisors (2497827361177584).

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

792316418281920 is a wasteful number, since it uses less digits than its factorization.

792316418281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204679 (or 2204653 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 792316418281920 in words is "seven hundred ninety-two trillion, three hundred sixteen billion, four hundred eighteen million, two hundred eighty-one thousand, nine hundred twenty".