6806815272 has 96 divisors (see below), whose sum is σ = 19249682400. Its totient is φ = 2170154112.

The previous prime is 6806815261. The next prime is 6806815277. The reversal of 6806815272 is 2725186086.

6806815272 is a `hidden beast` number, since 68 + 0 + 68 + 1 + 527 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (6806815277) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208183 + ... + 238649.

It is an arithmetic number, because the mean of its divisors is an integer number (200517525).

Almost surely, 2^6806815272 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 6806815272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9624841200).

6806815272 is an abundant number, since it is smaller than the sum of its proper divisors (12442867128).

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

6806815272 is a wasteful number, since it uses less digits than its factorization.

6806815272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30615 (or 30608 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 6806815272 is about 82503.4258197804. The cubic root of 6806815272 is about 1895.1691934990.

The spelling of 6806815272 in words is "six billion, eight hundred six million, eight hundred fifteen thousand, two hundred seventy-two".