796436607504384 has 2496 divisors, whose sum is σ = 3053503729612800. Its totient is φ = 202809625804800.

The previous prime is 796436607504371. The next prime is 796436607504413. The reversal of 796436607504384 is 483405706634697.

796436607504384 is a `hidden beast` number, since 7 + 9 + 6 + 4 + 3 + 6 + 607 + 5 + 0 + 4 + 3 + 8 + 4 = 666.

It is a super-2 number, since 2×796436607504384² (a number of 31 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 960719670882 + ... + 960719671710.

Almost surely, 2^{796436607504384} 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 796436607504384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526751864806400).

796436607504384 is an abundant number, since it is smaller than the sum of its proper divisors (2257067122108416).

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

796436607504384 is a wasteful number, since it uses less digits than its factorization.

796436607504384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 2194698240, while the sum is 72.

The spelling of 796436607504384 in words is "seven hundred ninety-six trillion, four hundred thirty-six billion, six hundred seven million, five hundred four thousand, three hundred eighty-four".