204664320000 has 1560 divisors, whose sum is σ = 894170973696. Its totient is φ = 45785088000.

The previous prime is 204664319987. The next prime is 204664320037. The reversal of 204664320000 is 23466402.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4354559977 + ... + 4354560023.

Almost surely, 2^204664320000 is an apocalyptic number.

204664320000 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 204664320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447085486848).

204664320000 is an abundant number, since it is smaller than the sum of its proper divisors (689506653696).

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

204664320000 is an frugal number, since it uses more digits than its factorization.

204664320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 204664320000 its reverse (23466402), we get a palindrome (204687786402).

The spelling of 204664320000 in words is "two hundred four billion, six hundred sixty-four million, three hundred twenty thousand".