204710897664 has 864 divisors, whose sum is σ = 757834721280. Its totient is φ = 51836682240.

The previous prime is 204710897627. The next prime is 204710897681. The reversal of 204710897664 is 466798017402.

204710897664 is a `hidden beast` number, since 20 + 471 + 0 + 8 + 97 + 6 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 204710897664.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1611896769 + ... + 1611896895.

It is an arithmetic number, because the mean of its divisors is an integer number (877123520).

Almost surely, 2^204710897664 is an apocalyptic number.

204710897664 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 204710897664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378917360640).

204710897664 is an abundant number, since it is smaller than the sum of its proper divisors (553123823616).

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

204710897664 is a wasteful number, since it uses less digits than its factorization.

204710897664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 204710897664 in words is "two hundred four billion, seven hundred ten million, eight hundred ninety-seven thousand, six hundred sixty-four".