204000624640 has 64 divisors (see below), whose sum is σ = 489594421620. Its totient is φ = 81600184320.

The previous prime is 204000624629. The next prime is 204000624643. The reversal of 204000624640 is 46426000402.

It can be written as a sum of positive squares in 2 ways, for example, as 177449877504 + 26550747136 = 421248^2 + 162944^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 204000624599 and 204000624608.

It is not an unprimeable number, because it can be changed into a prime (204000624643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 458721 + ... + 786400.

Almost surely, 2^204000624640 is an apocalyptic number.

204000624640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204000624640 is an abundant number, since it is smaller than the sum of its proper divisors (285593796980).

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

204000624640 is an frugal number, since it uses more digits than its factorization.

204000624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245156 (or 1245128 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The spelling of 204000624640 in words is "two hundred four billion, six hundred twenty-four thousand, six hundred forty".