204627760164 has 63 divisors (see below), whose sum is σ = 536966361057. Its totient is φ = 68201110944.

The previous prime is 204627760153. The next prime is 204627760171. The reversal of 204627760164 is 461067726402.

The square root of 204627760164 is 452358.

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

204627760164 is a `hidden beast` number, since 2 + 0 + 4 + 627 + 7 + 6 + 0 + 16 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29395102500 + 175232657664 = 171450^2 + 418608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 24423144 + ... + 24431520.

Almost surely, 2^204627760164 is an apocalyptic number.

204627760164 is the 452358-th square number.

It is an amenable number.

204627760164 is an abundant number, since it is smaller than the sum of its proper divisors (332338600893).

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

204627760164 is an frugal number, since it uses more digits than its factorization.

204627760164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16776 (or 8382 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 204627760164 in words is "two hundred four billion, six hundred twenty-seven million, seven hundred sixty thousand, one hundred sixty-four".