204794718720 has 640 divisors, whose sum is σ = 711665450496. Its totient is φ = 50054823936.

The previous prime is 204794718691. The next prime is 204794718743. The reversal of 204794718720 is 27817497402.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1304424882 + ... + 1304425038.

Almost surely, 2^204794718720 is an apocalyptic number.

204794718720 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 204794718720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355832725248).

204794718720 is an abundant number, since it is smaller than the sum of its proper divisors (506870731776).

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

204794718720 is a wasteful number, since it uses less digits than its factorization.

204794718720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1580544, while the sum is 51.

The spelling of 204794718720 in words is "two hundred four billion, seven hundred ninety-four million, seven hundred eighteen thousand, seven hundred twenty".