6815251872 has 432 divisors, whose sum is σ = 23747828832. Its totient is φ = 1897966080.

The previous prime is 6815251853. The next prime is 6815251879. The reversal of 6815251872 is 2781525186.

6815251872 is a `hidden beast` number, since 6 + 81 + 52 + 518 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

Its product of digits (268800) is a multiple of the sum of its prime divisors (256).

It is not an unprimeable number, because it can be changed into a prime (6815251879) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30023023 + ... + 30023249.

It is an arithmetic number, because the mean of its divisors is an integer number (54971826).

Almost surely, 2^6815251872 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 6815251872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11873914416).

6815251872 is an abundant number, since it is smaller than the sum of its proper divisors (16932576960).

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

6815251872 is a wasteful number, since it uses less digits than its factorization.

6815251872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 256 counting only the distinct ones).

The product of its digits is 268800, while the sum is 45.

The square root of 6815251872 is about 82554.5387728621. The cubic root of 6815251872 is about 1895.9518494421.

The spelling of 6815251872 in words is "six billion, eight hundred fifteen million, two hundred fifty-one thousand, eight hundred seventy-two".