37642752864 has 144 divisors (see below), whose sum is σ = 111191672592. Its totient is φ = 12527198208.

The previous prime is 37642752853. The next prime is 37642752871. The reversal of 37642752864 is 46825724673.

37642752864 is a `hidden beast` number, since 3 + 76 + 42 + 7 + 528 + 6 + 4 = 666.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 37642752864.

It is a congruent number.

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, 5229652 + ... + 5236844.

It is an arithmetic number, because the mean of its divisors is an integer number (772164393).

Almost surely, 2^37642752864 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 37642752864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55595836296).

37642752864 is an abundant number, since it is smaller than the sum of its proper divisors (73548919728).

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

37642752864 is an equidigital number, since it uses as much as digits as its factorization.

37642752864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7891 (or 7871 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 54.

The spelling of 37642752864 in words is "thirty-seven billion, six hundred forty-two million, seven hundred fifty-two thousand, eight hundred sixty-four".