804163935744 has 840 divisors, whose sum is σ = 2689034843880. Its totient is φ = 238651785216.

The previous prime is 804163935739. The next prime is 804163935761. The reversal of 804163935744 is 447539361408.

804163935744 is a `hidden beast` number, since 8 + 0 + 4 + 1 + 63 + 9 + 3 + 574 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 13629897187 + ... + 13629897245.

It is an arithmetic number, because the mean of its divisors is an integer number (3201231957).

Almost surely, 2^804163935744 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 804163935744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1344517421940).

804163935744 is an abundant number, since it is smaller than the sum of its proper divisors (1884870908136).

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

804163935744 is an frugal number, since it uses more digits than its factorization.

804163935744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 804163935744 in words is "eight hundred four billion, one hundred sixty-three million, nine hundred thirty-five thousand, seven hundred forty-four".