204610904064 has 1120 divisors, whose sum is σ = 761219712000. Its totient is φ = 54623600640.

The previous prime is 204610904059. The next prime is 204610904083. The reversal of 204610904064 is 460409016402.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6600351729 + ... + 6600351759.

Almost surely, 2^204610904064 is an apocalyptic number.

204610904064 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 204610904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380609856000).

204610904064 is an abundant number, since it is smaller than the sum of its proper divisors (556608807936).

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

204610904064 is an frugal number, since it uses more digits than its factorization.

204610904064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 204610904064 in words is "two hundred four billion, six hundred ten million, nine hundred four thousand, sixty-four".