204402464664 has 128 divisors (see below), whose sum is σ = 569848608000. Its totient is φ = 60718546944.

The previous prime is 204402464597. The next prime is 204402464677. The reversal of 204402464664 is 466464204402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17071672 + ... + 17083640.

It is an arithmetic number, because the mean of its divisors is an integer number (4451942250).

Almost surely, 2^204402464664 is an apocalyptic number.

204402464664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204402464664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284924304000).

204402464664 is an abundant number, since it is smaller than the sum of its proper divisors (365446143336).

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

204402464664 is a wasteful number, since it uses less digits than its factorization.

204402464664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14217 (or 14213 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 204402464664 in words is "two hundred four billion, four hundred two million, four hundred sixty-four thousand, six hundred sixty-four".