43680164004 has 135 divisors (see below), whose sum is σ = 121478528017. Its totient is φ = 13683517056.

The previous prime is 43680163999. The next prime is 43680164023. The reversal of 43680164004 is 40046108634.

The square root of 43680164004 is 208998.

It is a perfect power (a square), and thus also a powerful number.

43680164004 is a `hidden beast` number, since 4 + 3 + 6 + 8 + 0 + 1 + 640 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34007048100 + 9673115904 = 184410^2 + 98352^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 43680164004.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 63953047 + ... + 63953729.

Almost surely, 2^43680164004 is an apocalyptic number.

43680164004 is the 208998-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43680164004

43680164004 is an abundant number, since it is smaller than the sum of its proper divisors (77798364013).

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

43680164004 is an equidigital number, since it uses as much as digits as its factorization.

43680164004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1416 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Multiplying 43680164004 by its sum of digits (36), we get a square (1572485904144 = 1253988²).

43680164004 divided by its sum of digits (36) gives a square (1213337889 = 34833²).

The spelling of 43680164004 in words is "forty-three billion, six hundred eighty million, one hundred sixty-four thousand, four".