204500768256 has 640 divisors, whose sum is σ = 652038266880. Its totient is φ = 63170150400.

The previous prime is 204500768237. The next prime is 204500768279. The reversal of 204500768256 is 652867005402.

204500768256 is a `hidden beast` number, since 2 + 0 + 450 + 0 + 76 + 82 + 56 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1809741256 + ... + 1809741368.

It is an arithmetic number, because the mean of its divisors is an integer number (1018809792).

Almost surely, 2^204500768256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204500768256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326019133440).

204500768256 is an abundant number, since it is smaller than the sum of its proper divisors (447537498624).

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

204500768256 is a wasteful number, since it uses less digits than its factorization.

204500768256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 204500768256 in words is "two hundred four billion, five hundred million, seven hundred sixty-eight thousand, two hundred fifty-six".