6792442976 has 96 divisors (see below), whose sum is σ = 14856942240. Its totient is φ = 3031142400.

The previous prime is 6792442963. The next prime is 6792442991.

6792442976 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6792442976² = 92274563164423473152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4917806 + ... + 4919186.

It is an arithmetic number, because the mean of its divisors is an integer number (154759815).

Almost surely, 2^6792442976 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 6792442976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7428471120).

6792442976 is an abundant number, since it is smaller than the sum of its proper divisors (8064499264).

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

6792442976 is a wasteful number, since it uses less digits than its factorization.

6792442976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648 (or 1640 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 56.

The square root of 6792442976 is about 82416.2785862114. The cubic root of 6792442976 is about 1893.8343976793.

The spelling of 6792442976 in words is "six billion, seven hundred ninety-two million, four hundred forty-two thousand, nine hundred seventy-six".