6813804320 has 192 divisors, whose sum is σ = 17511137280. Its totient is φ = 2497195008.

The previous prime is 6813804317. The next prime is 6813804329. The reversal of 6813804320 is 234083186.

It is a happy number.

It is a super-2 number, since 2×6813804320² = 92855858622501324800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6813804329) 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 31 ways as a sum of consecutive naturals, for example, 14716409 + ... + 14716871.

It is an arithmetic number, because the mean of its divisors is an integer number (91203840).

Almost surely, 2^6813804320 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 6813804320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8755568640).

6813804320 is an abundant number, since it is smaller than the sum of its proper divisors (10697332960).

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

6813804320 is a wasteful number, since it uses less digits than its factorization.

6813804320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 6813804320 is about 82545.7710606667. The cubic root of 6813804320 is about 1895.8176072417.

The spelling of 6813804320 in words is "six billion, eight hundred thirteen million, eight hundred four thousand, three hundred twenty".