5807679264 has 180 divisors, whose sum is σ = 18146383794. Its totient is φ = 1821782016.

The previous prime is 5807679263. The next prime is 5807679301. The reversal of 5807679264 is 4629767085.

It can be written as a sum of positive squares in 3 ways, for example, as 5419904400 + 387774864 = 73620^2 + 19692^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 5807679264.

It is not an unprimeable number, because it can be changed into a prime (5807679263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 745212 + ... + 752964.

Almost surely, 2^5807679264 is an apocalyptic number.

5807679264 is a gapful number since it is divisible by the number (54) 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 5807679264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9073191897).

5807679264 is an abundant number, since it is smaller than the sum of its proper divisors (12338704530).

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

5807679264 is a wasteful number, since it uses less digits than its factorization.

5807679264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7809 (or 7775 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 5807679264 is about 76208.1312197065. The cubic root of 5807679264 is about 1797.4943804354.

The spelling of 5807679264 in words is "five billion, eight hundred seven million, six hundred seventy-nine thousand, two hundred sixty-four".