6806812320 has 960 divisors, whose sum is σ = 31614105600. Its totient is φ = 1336227840.

The previous prime is 6806812297. The next prime is 6806812381. The reversal of 6806812320 is 232186086.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18960301 + ... + 18960659.

It is an arithmetic number, because the mean of its divisors is an integer number (32931360).

Almost surely, 2^6806812320 is an apocalyptic number.

6806812320 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 6806812320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15807052800).

6806812320 is an abundant number, since it is smaller than the sum of its proper divisors (24807293280).

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

6806812320 is a wasteful number, since it uses less digits than its factorization.

6806812320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6806812320 is about 82503.4079296122. The cubic root of 6806812320 is about 1895.1689195314.

The spelling of 6806812320 in words is "six billion, eight hundred six million, eight hundred twelve thousand, three hundred twenty".