36770518944 has 144 divisors (see below), whose sum is σ = 109514976480. Its totient is φ = 12135225600.

The previous prime is 36770518907. The next prime is 36770518979. The reversal of 36770518944 is 44981507763.

36770518944 is a `hidden beast` number, since 36 + 7 + 7 + 0 + 518 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×36770518944² (a number of 22 digits) contains 22 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 761967 + ... + 808785.

It is an arithmetic number, because the mean of its divisors is an integer number (760520670).

Almost surely, 2^36770518944 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 36770518944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54757488240).

36770518944 is an abundant number, since it is smaller than the sum of its proper divisors (72744457536).

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

36770518944 is a wasteful number, since it uses less digits than its factorization.

36770518944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46945 (or 46925 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 36770518944 in words is "thirty-six billion, seven hundred seventy million, five hundred eighteen thousand, nine hundred forty-four".