36772427324016 has 240 divisors, whose sum is σ = 105817137600096. Its totient is φ = 11915745214464.

The previous prime is 36772427323999. The next prime is 36772427324033. The reversal of 36772427324016 is 61042372427763.

36772427324016 is a `hidden beast` number, since 3 + 6 + 77 + 242 + 7 + 324 + 0 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (36772427323999) and next prime (36772427324033).

It is a super-2 number, since 2×36772427324016² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3581608515 + ... + 3581618781.

Almost surely, 2^{36772427324016} is an apocalyptic number.

36772427324016 is a gapful number since it is divisible by the number (36) 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 36772427324016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52908568800048).

36772427324016 is an abundant number, since it is smaller than the sum of its proper divisors (69044710276080).

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

36772427324016 is a wasteful number, since it uses less digits than its factorization.

36772427324016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14600 (or 14591 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 54.

The spelling of 36772427324016 in words is "thirty-six trillion, seven hundred seventy-two billion, four hundred twenty-seven million, three hundred twenty-four thousand, sixteen".