7815112704 has 432 divisors, whose sum is σ = 27855746100. Its totient is φ = 2097414144.

The previous prime is 7815112703. The next prime is 7815112769. The reversal of 7815112704 is 4072115187.

7815112704 is a `hidden beast` number, since 78 + 1 + 511 + 2 + 70 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7056000000 + 759112704 = 84000^2 + 27552^2 .

It is a super-2 number, since 2×7815112704² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (7815112703) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15353602 + ... + 15354110.

Almost surely, 2^7815112704 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 7815112704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927873050).

7815112704 is an abundant number, since it is smaller than the sum of its proper divisors (20040633396).

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

7815112704 is a wasteful number, since it uses less digits than its factorization.

7815112704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 7815112704 is about 88403.1260985719. The cubic root of 7815112704 is about 1984.4724854578.

The spelling of 7815112704 in words is "seven billion, eight hundred fifteen million, one hundred twelve thousand, seven hundred four".