204216090624 has 1200 divisors, whose sum is σ = 799305091200. Its totient is φ = 50451185664.

The previous prime is 204216090581. The next prime is 204216090629. The reversal of 204216090624 is 426090612402.

204216090624 is a `hidden beast` number, since 2 + 0 + 4 + 21 + 6 + 0 + 9 + 0 + 624 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204216090629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2294562772 + ... + 2294562860.

It is an arithmetic number, because the mean of its divisors is an integer number (666087576).

Almost surely, 2^204216090624 is an apocalyptic number.

204216090624 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 204216090624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399652545600).

204216090624 is an abundant number, since it is smaller than the sum of its proper divisors (595089000576).

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

204216090624 is an equidigital number, since it uses as much as digits as its factorization.

204216090624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 204216090624 in words is "two hundred four billion, two hundred sixteen million, ninety thousand, six hundred twenty-four".