5776759296 has 640 divisors, whose sum is σ = 21904312320. Its totient is φ = 1478062080.

The previous prime is 5776759253. The next prime is 5776759301. The reversal of 5776759296 is 6929576775.

5776759296 is a `hidden beast` number, since 577 + 6 + 7 + 59 + 2 + 9 + 6 = 666.

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

Its product of digits (50009400) is a multiple of the sum of its prime divisors (90).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86220255 + ... + 86220321.

It is an arithmetic number, because the mean of its divisors is an integer number (34225488).

It is a vampire number, since it can be written as 72576 ⋅ 79596 (with its own digits).

Almost surely, 2^5776759296 is an apocalyptic number.

5776759296 is a gapful number since it is divisible by the number (56) 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 5776759296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10952156160).

5776759296 is an abundant number, since it is smaller than the sum of its proper divisors (16127553024).

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

5776759296 is an frugal number, since it uses more digits than its factorization.

5776759296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 90 counting only the distinct ones).

The product of its digits is 50009400, while the sum is 63.

The square root of 5776759296 is about 76004.9952042627. The cubic root of 5776759296 is about 1794.2987612187.

The spelling of 5776759296 in words is "five billion, seven hundred seventy-six million, seven hundred fifty-nine thousand, two hundred ninety-six".