804959727264 has 864 divisors, whose sum is σ = 3165493504320. Its totient is φ = 196748697600.

The previous prime is 804959727241. The next prime is 804959727307. The reversal of 804959727264 is 462727959408.

804959727264 is a `hidden beast` number, since 8 + 0 + 495 + 9 + 72 + 72 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 134583154 + ... + 134589134.

It is an arithmetic number, because the mean of its divisors is an integer number (3663765630).

Almost surely, 2^804959727264 is an apocalyptic number.

804959727264 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 804959727264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582746752160).

804959727264 is an abundant number, since it is smaller than the sum of its proper divisors (2360533777056).

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

804959727264 is a wasteful number, since it uses less digits than its factorization.

804959727264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6059 (or 6021 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 804959727264 in words is "eight hundred four billion, nine hundred fifty-nine million, seven hundred twenty-seven thousand, two hundred sixty-four".