6816338496 has 336 divisors, whose sum is σ = 22797747648. Its totient is φ = 1940336640.

The previous prime is 6816338467. The next prime is 6816338527. The reversal of 6816338496 is 6948336186.

6816338496 is a `hidden beast` number, since 68 + 1 + 63 + 38 + 496 = 666.

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 47 ways as a sum of consecutive naturals, for example, 13032891 + ... + 13033413.

Almost surely, 2^6816338496 is an apocalyptic number.

6816338496 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 6816338496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11398873824).

6816338496 is an abundant number, since it is smaller than the sum of its proper divisors (15981409152).

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

6816338496 is a wasteful number, since it uses less digits than its factorization.

6816338496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 591 (or 556 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 6816338496 is about 82561.1197598482. The cubic root of 6816338496 is about 1896.0526076307.

The spelling of 6816338496 in words is "six billion, eight hundred sixteen million, three hundred thirty-eight thousand, four hundred ninety-six".