804940365600 has 1944 divisors, whose sum is σ = 3649307210640. Its totient is φ = 165990021120.

The previous prime is 804940365553. The next prime is 804940365611. The reversal of 804940365600 is 6563049408.

804940365600 is a `hidden beast` number, since 8 + 0 + 4 + 9 + 4 + 0 + 36 + 5 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 3545992687 + ... + 3545992913.

Almost surely, 2^804940365600 is an apocalyptic number.

804940365600 is a gapful number since it is divisible by the number (80) 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 804940365600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1824653605320).

804940365600 is an abundant number, since it is smaller than the sum of its proper divisors (2844366845040).

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

804940365600 is a wasteful number, since it uses less digits than its factorization.

804940365600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 804940365600 in words is "eight hundred four billion, nine hundred forty million, three hundred sixty-five thousand, six hundred".