804726244224 has 960 divisors, whose sum is σ = 2955575272320. Its totient is φ = 216334540800.

The previous prime is 804726244177. The next prime is 804726244237. The reversal of 804726244224 is 422442627408.

804726244224 is a `hidden beast` number, since 80 + 4 + 72 + 62 + 442 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 804726244224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 582712014 + ... + 582713394.

It is an arithmetic number, because the mean of its divisors is an integer number (3078724242).

Almost surely, 2^804726244224 is an apocalyptic number.

804726244224 is a gapful number since it is divisible by the number (84) 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 804726244224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477787636160).

804726244224 is an abundant number, since it is smaller than the sum of its proper divisors (2150849028096).

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

804726244224 is a wasteful number, since it uses less digits than its factorization.

804726244224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1461 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 45.

The spelling of 804726244224 in words is "eight hundred four billion, seven hundred twenty-six million, two hundred forty-four thousand, two hundred twenty-four".