36990857659392 has 1056 divisors, whose sum is σ = 138231005552640. Its totient is φ = 9259797381120.

The previous prime is 36990857659363. The next prime is 36990857659417. The reversal of 36990857659392 is 29395675809963.

36990857659392 is a `hidden beast` number, since 3 + 6 + 9 + 9 + 0 + 8 + 576 + 5 + 9 + 39 + 2 = 666.

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, 2526863209 + ... + 2526877847.

It is an arithmetic number, because the mean of its divisors is an integer number (130900573440).

Almost surely, 2^{36990857659392} is an apocalyptic number.

36990857659392 is a gapful number since it is divisible by the number (32) 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 36990857659392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69115502776320).

36990857659392 is an abundant number, since it is smaller than the sum of its proper divisors (101240147893248).

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

36990857659392 is a wasteful number, since it uses less digits than its factorization.

36990857659392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14839 (or 14818 counting only the distinct ones).

The product of its (nonzero) digits is 5952139200, while the sum is 81.

The spelling of 36990857659392 in words is "thirty-six trillion, nine hundred ninety billion, eight hundred fifty-seven million, six hundred fifty-nine thousand, three hundred ninety-two".