804401207568 has 240 divisors, whose sum is σ = 2637079466112. Its totient is φ = 224093952000.

The previous prime is 804401207543. The next prime is 804401207579. The reversal of 804401207568 is 865702104408.

804401207568 is a `hidden beast` number, since 80 + 4 + 4 + 0 + 1 + 2 + 0 + 7 + 568 = 666.

It is a super-2 number, since 2×804401207568² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88478703 + ... + 88487793.

Almost surely, 2^804401207568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 804401207568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318539733056).

804401207568 is an abundant number, since it is smaller than the sum of its proper divisors (1832678258544).

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

804401207568 is a wasteful number, since it uses less digits than its factorization.

804401207568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11294 (or 11285 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 804401207568 in words is "eight hundred four billion, four hundred one million, two hundred seven thousand, five hundred sixty-eight".