6820108008 has 128 divisors (see below), whose sum is σ = 20881566720. Its totient is φ = 1811819520.

The previous prime is 6820107979. The next prime is 6820108021. The reversal of 6820108008 is 8008010286.

It is a self number, because there is not a number n which added to its sum of digits gives 6820108008.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222663 + ... + 251433.

It is an arithmetic number, because the mean of its divisors is an integer number (163137240).

Almost surely, 2^6820108008 is an apocalyptic number.

6820108008 is a gapful number since it is divisible by the number (68) 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 6820108008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10440783360).

6820108008 is an abundant number, since it is smaller than the sum of its proper divisors (14061458712).

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

6820108008 is a wasteful number, since it uses less digits than its factorization.

6820108008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28887 (or 28883 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 6820108008 is about 82583.9452193948. The cubic root of 6820108008 is about 1896.4020560417.

The spelling of 6820108008 in words is "six billion, eight hundred twenty million, one hundred eight thousand, eight".