8022726576 has 240 divisors, whose sum is σ = 24091984800. Its totient is φ = 2487324672.

The previous prime is 8022726563. The next prime is 8022726583. The reversal of 8022726576 is 6756272208.

8022726576 is a `hidden beast` number, since 8 + 0 + 2 + 2 + 72 + 6 + 576 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21167955 + ... + 21168333.

It is an arithmetic number, because the mean of its divisors is an integer number (100383270).

Almost surely, 2^8022726576 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 8022726576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12045992400).

8022726576 is an abundant number, since it is smaller than the sum of its proper divisors (16069258224).

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

8022726576 is a wasteful number, since it uses less digits than its factorization.

8022726576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 8022726576 is about 89569.6744216479. The cubic root of 8022726576 is about 2001.8920907651.

The spelling of 8022726576 in words is "eight billion, twenty-two million, seven hundred twenty-six thousand, five hundred seventy-six".