204163621764960 has 576 divisors, whose sum is σ = 760488375144960. Its totient is φ = 45639525335040.

The previous prime is 204163621764943. The next prime is 204163621764967. The reversal of 204163621764960 is 69467126361402.

It is a self number, because there is not a number n which added to its sum of digits gives 204163621764960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204163621764967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 862755136 + ... + 862991744.

It is an arithmetic number, because the mean of its divisors is an integer number (1320292317960).

Almost surely, 2^{204163621764960} is an apocalyptic number.

204163621764960 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 204163621764960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380244187572480).

204163621764960 is an abundant number, since it is smaller than the sum of its proper divisors (556324753380000).

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

204163621764960 is a wasteful number, since it uses less digits than its factorization.

204163621764960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237631 (or 237610 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 204163621764960 in words is "two hundred four trillion, one hundred sixty-three billion, six hundred twenty-one million, seven hundred sixty-four thousand, nine hundred sixty".