6794444976 has 160 divisors (see below), whose sum is σ = 19749235968. Its totient is φ = 1994757120.

The previous prime is 6794444959. The next prime is 6794444977.

6794444976 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (6794444977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5723455 + ... + 5724641.

Almost surely, 2^6794444976 is an apocalyptic number.

6794444976 is a gapful number since it is divisible by the number (66) 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 6794444976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9874617984).

6794444976 is an abundant number, since it is smaller than the sum of its proper divisors (12954790992).

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

6794444976 is a wasteful number, since it uses less digits than its factorization.

6794444976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1539 (or 1533 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 60.

The square root of 6794444976 is about 82428.4233502012. The cubic root of 6794444976 is about 1894.0204418876.

The spelling of 6794444976 in words is "six billion, seven hundred ninety-four million, four hundred forty-four thousand, nine hundred seventy-six".