36712944092160 has 880 divisors, whose sum is σ = 150484475940480. Its totient is φ = 8384165314560.

The previous prime is 36712944092137. The next prime is 36712944092171. The reversal of 36712944092160 is 6129044921763.

36712944092160 is a `hidden beast` number, since 3 + 6 + 7 + 12 + 9 + 4 + 409 + 216 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 36712944092097 and 36712944092106.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3742013655 + ... + 3742023465.

It is an arithmetic number, because the mean of its divisors is an integer number (171005086296).

Almost surely, 2^{36712944092160} is an apocalyptic number.

36712944092160 is a gapful number since it is divisible by the number (30) 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 36712944092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75242237970240).

36712944092160 is an abundant number, since it is smaller than the sum of its proper divisors (113771531848320).

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

36712944092160 is a wasteful number, since it uses less digits than its factorization.

36712944092160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11144 (or 11117 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 36712944092160 in words is "thirty-six trillion, seven hundred twelve billion, nine hundred forty-four million, ninety-two thousand, one hundred sixty".