7686905625 has 135 divisors (see below), whose sum is σ = 16237175097. Its totient is φ = 3492972000.

The previous prime is 7686905617. The next prime is 7686905627. The reversal of 7686905625 is 5265096867.

It is a happy number.

The square root of 7686905625 is 87675.

It is a perfect power (a square), and thus also a powerful number.

7686905625 is a `hidden beast` number, since 7 + 6 + 8 + 6 + 9 + 0 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 602653401 + 7084252224 = 24549^2 + 84168^2 .

It is not a de Polignac number, because 7686905625 - 2³ = 7686905617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7686905627) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 46029292 + ... + 46029458.

Almost surely, 2^7686905625 is an apocalyptic number.

7686905625 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7686905625 is the 87675-th square number.

7686905625 is the 43838-th centered octagonal number.

It is an amenable number.

7686905625 is an abundant number, since it is smaller than the sum of its proper divisors (8550269472).

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

7686905625 is an equidigital number, since it uses as much as digits as its factorization.

7686905625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The cubic root of 7686905625 is about 1973.5608273045.

The spelling of 7686905625 in words is "seven billion, six hundred eighty-six million, nine hundred five thousand, six hundred twenty-five".