6799559976 has 192 divisors, whose sum is σ = 20450102400. Its totient is φ = 2023872000.

The previous prime is 6799559971. The next prime is 6799559993.

6799559976 is a `hidden beast` number, since 67 + 9 + 9 + 559 + 9 + 7 + 6 = 666.

6799559976 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×6799559976² = 92468031734442241152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (6799559971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13358410 + ... + 13358918.

It is an arithmetic number, because the mean of its divisors is an integer number (106510950).

Almost surely, 2^6799559976 is an apocalyptic number.

6799559976 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 6799559976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10225051200).

6799559976 is an abundant number, since it is smaller than the sum of its proper divisors (13650542424).

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

6799559976 is a wasteful number, since it uses less digits than its factorization.

6799559976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 793 counting only the distinct ones).

The product of its digits is 289340100, while the sum is 72.

The square root of 6799559976 is about 82459.4444317933. Note that the first 4 decimals coincide. The cubic root of 6799559976 is about 1894.4956087101.

The spelling of 6799559976 in words is "six billion, seven hundred ninety-nine million, five hundred fifty-nine thousand, nine hundred seventy-six".