6924736225 has 81 divisors (see below), whose sum is σ = 10140011371. Its totient is φ = 4686668800.

The previous prime is 6924736223. The next prime is 6924736241. The reversal of 6924736225 is 5226374296.

The square root of 6924736225 is 83215.

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

6924736225 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 13 ways, for example, as 4670765649 + 2253970576 = 68343^2 + 47476^2 .

It is not a de Polignac number, because 6924736225 - 2¹ = 6924736223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6924736223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 77805981 + ... + 77806069.

Almost surely, 2^6924736225 is an apocalyptic number.

6924736225 is the 83215-th square number.

6924736225 is the 41608-th centered octagonal number.

It is an amenable number.

6924736225 is a deficient number, since it is larger than the sum of its proper divisors (3215275146).

6924736225 is a wasteful number, since it uses less digits than its factorization.

6924736225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 122 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 46.

The cubic root of 6924736225 is about 1906.0505385136.

The spelling of 6924736225 in words is "six billion, nine hundred twenty-four million, seven hundred thirty-six thousand, two hundred twenty-five".