204007693680 has 360 divisors, whose sum is σ = 810499575600. Its totient is φ = 45839517696.

The previous prime is 204007693663. The next prime is 204007693723. The reversal of 204007693680 is 86396700402.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2032516 + ... + 2130524.

It is an arithmetic number, because the mean of its divisors is an integer number (2251387710).

Almost surely, 2^204007693680 is an apocalyptic number.

204007693680 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 204007693680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405249787800).

204007693680 is an abundant number, since it is smaller than the sum of its proper divisors (606491881920).

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

204007693680 is a wasteful number, since it uses less digits than its factorization.

204007693680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98101 (or 98085 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 204007693680 in words is "two hundred four billion, seven million, six hundred ninety-three thousand, six hundred eighty".