6817982976 has 160 divisors (see below), whose sum is σ = 23065130880. Its totient is φ = 1947967488.

The previous prime is 6817982953. The next prime is 6817982987. The reversal of 6817982976 is 6792897186.

It is a super-2 number, since 2×6817982976² = 92969783722051633152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 61540 + ... + 131996.

It is an arithmetic number, because the mean of its divisors is an integer number (144157068).

Almost surely, 2^6817982976 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 6817982976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11532565440).

6817982976 is an abundant number, since it is smaller than the sum of its proper divisors (16247147904).

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

6817982976 is an equidigital number, since it uses as much as digits as its factorization.

6817982976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70491 (or 70469 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The square root of 6817982976 is about 82571.0783264940. The cubic root of 6817982976 is about 1896.2050731556.

The spelling of 6817982976 in words is "six billion, eight hundred seventeen million, nine hundred eighty-two thousand, nine hundred seventy-six".