6808818720 has 384 divisors, whose sum is σ = 25021301760. Its totient is φ = 1538887680.

The previous prime is 6808818707. The next prime is 6808818749. The reversal of 6808818720 is 278188086.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6808818720.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6720934 + ... + 6721946.

It is an arithmetic number, because the mean of its divisors is an integer number (65159640).

Almost surely, 2^6808818720 is an apocalyptic number.

6808818720 is a gapful number since it is divisible by the number (60) 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 6808818720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12510650880).

6808818720 is an abundant number, since it is smaller than the sum of its proper divisors (18212483040).

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

6808818720 is a wasteful number, since it uses less digits than its factorization.

6808818720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 48.

The square root of 6808818720 is about 82515.5665314127. The cubic root of 6808818720 is about 1895.3551101295.

It can be divided in two parts, 6808 and 818720, that added together give a palindrome (825528).

The spelling of 6808818720 in words is "six billion, eight hundred eight million, eight hundred eighteen thousand, seven hundred twenty".