6791639680 has 256 divisors, whose sum is σ = 19818028800. Its totient is φ = 2173796352.

The previous prime is 6791639669. The next prime is 6791639713. The reversal of 6791639680 is 869361976.

It is a super-2 number, since 2×6791639680² = 92252739085901004800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 6213214 + ... + 6214306.

It is an arithmetic number, because the mean of its divisors is an integer number (77414175).

Almost surely, 2^6791639680 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 6791639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9909014400).

6791639680 is an abundant number, since it is smaller than the sum of its proper divisors (13026389120).

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

6791639680 is a wasteful number, since it uses less digits than its factorization.

6791639680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 55.

The square root of 6791639680 is about 82411.4050359536. The cubic root of 6791639680 is about 1893.7597377679.

The spelling of 6791639680 in words is "six billion, seven hundred ninety-one million, six hundred thirty-nine thousand, six hundred eighty".