7647304225 has 48 divisors (see below), whose sum is σ = 10972172736. Its totient is φ = 5225472000.

The previous prime is 7647304219. The next prime is 7647304229. The reversal of 7647304225 is 5224037467.

It is a happy number.

It is not a de Polignac number, because 7647304225 - 2¹⁷ = 7647173153 is a prime.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7647304229) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3790417 + ... + 3792433.

It is an arithmetic number, because the mean of its divisors is an integer number (228586932).

Almost surely, 2^7647304225 is an apocalyptic number.

It is an amenable number.

7647304225 is a deficient number, since it is larger than the sum of its proper divisors (3324868511).

7647304225 is a wasteful number, since it uses less digits than its factorization.

7647304225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 40.

The square root of 7647304225 is about 87448.8663448532. The cubic root of 7647304225 is about 1970.1658603600.

The spelling of 7647304225 in words is "seven billion, six hundred forty-seven million, three hundred four thousand, two hundred twenty-five".