204163646400 has 504 divisors, whose sum is σ = 831212195840. Its totient is φ = 46558955520.

The previous prime is 204163646399. The next prime is 204163646413. The reversal of 204163646400 is 4646361402.

204163646400 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 6 + 3 + 6 + 4 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-3 number, since 3×204163646400³ (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 49087521 + ... + 49091679.

Almost surely, 2^204163646400 is an apocalyptic number.

204163646400 is a gapful number since it is divisible by the number (20) 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 204163646400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415606097920).

204163646400 is an abundant number, since it is smaller than the sum of its proper divisors (627048549440).

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

204163646400 is a wasteful number, since it uses less digits than its factorization.

204163646400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4681 (or 4663 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 204163646400 in words is "two hundred four billion, one hundred sixty-three million, six hundred forty-six thousand, four hundred".