36559887331968 has 1440 divisors, whose sum is σ = 149512791906720. Its totient is φ = 8765380915200.

The previous prime is 36559887331901. The next prime is 36559887331987. The reversal of 36559887331968 is 86913378895563.

36559887331968 is a `hidden beast` number, since 3 + 6 + 5 + 598 + 8 + 7 + 3 + 3 + 19 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 944412133 + ... + 944450843.

It is an arithmetic number, because the mean of its divisors is an integer number (103828327713).

Almost surely, 2^{36559887331968} 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 36559887331968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74756395953360).

36559887331968 is an abundant number, since it is smaller than the sum of its proper divisors (112952904574752).

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

36559887331968 is a wasteful number, since it uses less digits than its factorization.

36559887331968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38788 (or 38747 counting only the distinct ones).

The product of its digits is 7054387200, while the sum is 81.

The spelling of 36559887331968 in words is "thirty-six trillion, five hundred fifty-nine billion, eight hundred eighty-seven million, three hundred thirty-one thousand, nine hundred sixty-eight".