36664590400 has 63 divisors (see below), whose sum is σ = 90236658109. Its totient is φ = 14662772480.

The previous prime is 36664590379. The next prime is 36664590419. The reversal of 36664590400 is 409546663.

The square root of 36664590400 is 191480.

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

It can be written as a sum of positive squares in only one way, i.e., 13199252544 + 23465337856 = 114888^2 + 153184^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7656807 + ... + 7661593.

Almost surely, 2^36664590400 is an apocalyptic number.

36664590400 is the 191480-th square number.

It is an amenable number.

36664590400 is an abundant number, since it is smaller than the sum of its proper divisors (53572067709).

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

36664590400 is an frugal number, since it uses more digits than its factorization.

36664590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9596 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 43.

The spelling of 36664590400 in words is "thirty-six billion, six hundred sixty-four million, five hundred ninety thousand, four hundred".