36791324938368 has 1792 divisors, whose sum is σ = 155321224934400. Its totient is φ = 8356425523200.

The previous prime is 36791324938331. The next prime is 36791324938409. The reversal of 36791324938368 is 86383942319763.

36791324938368 is a `hidden beast` number, since 3 + 6 + 7 + 9 + 13 + 249 + 3 + 8 + 368 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 36791324938296 and 36791324938305.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1774690563 + ... + 1774711293.

It is an arithmetic number, because the mean of its divisors is an integer number (86674790700).

Almost surely, 2^{36791324938368} is an apocalyptic number.

36791324938368 is a gapful number since it is divisible by the number (38) 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 36791324938368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77660612467200).

36791324938368 is an abundant number, since it is smaller than the sum of its proper divisors (118529899996032).

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

36791324938368 is a wasteful number, since it uses less digits than its factorization.

36791324938368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20813 (or 20786 counting only the distinct ones).

The product of its digits is 846526464, while the sum is 72.

The spelling of 36791324938368 in words is "thirty-six trillion, seven hundred ninety-one billion, three hundred twenty-four million, nine hundred thirty-eight thousand, three hundred sixty-eight".