204044004864 has 240 divisors, whose sum is σ = 676748872800. Its totient is φ = 57974538240.

The previous prime is 204044004803. The next prime is 204044004877. The reversal of 204044004864 is 468400440402.

204044004864 is a `hidden beast` number, since 204 + 0 + 4 + 400 + 48 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5820862 + ... + 5855810.

It is an arithmetic number, because the mean of its divisors is an integer number (2819786970).

Almost surely, 2^204044004864 is an apocalyptic number.

204044004864 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 204044004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338374436400).

204044004864 is an abundant number, since it is smaller than the sum of its proper divisors (472704867936).

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

204044004864 is a wasteful number, since it uses less digits than its factorization.

204044004864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35161 (or 35142 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 36.

The spelling of 204044004864 in words is "two hundred four billion, forty-four million, four thousand, eight hundred sixty-four".