204264353664 has 896 divisors, whose sum is σ = 745618368000. Its totient is φ = 54419558400.

The previous prime is 204264353641. The next prime is 204264353719. The reversal of 204264353664 is 466353462402.

204264353664 is a `hidden beast` number, since 20 + 4 + 264 + 3 + 5 + 366 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1352743989 + ... + 1352744139.

Almost surely, 2^204264353664 is an apocalyptic number.

204264353664 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 204264353664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372809184000).

204264353664 is an abundant number, since it is smaller than the sum of its proper divisors (541354014336).

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

204264353664 is a wasteful number, since it uses less digits than its factorization.

204264353664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

The spelling of 204264353664 in words is "two hundred four billion, two hundred sixty-four million, three hundred fifty-three thousand, six hundred sixty-four".