6811806720 has 176 divisors, whose sum is σ = 21879449568. Its totient is φ = 1808793600.

The previous prime is 6811806689. The next prime is 6811806737. The reversal of 6811806720 is 276081186.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4253920 + ... + 4255520.

Almost surely, 2^6811806720 is an apocalyptic number.

6811806720 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 6811806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10939724784).

6811806720 is an abundant number, since it is smaller than the sum of its proper divisors (15067642848).

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

6811806720 is a wasteful number, since it uses less digits than its factorization.

6811806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 39.

The square root of 6811806720 is about 82533.6702200987. The cubic root of 6811806720 is about 1895.6323237975.

The spelling of 6811806720 in words is "six billion, eight hundred eleven million, eight hundred six thousand, seven hundred twenty".