64107805360225 has 27 divisors (see below), whose sum is σ = 87377949474361. Its totient is φ = 46623538174400.

The previous prime is 64107805360201. The next prime is 64107805360237. The reversal of 64107805360225 is 52206350870146.

The square root of 64107805360225 is 8006735.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10296249835729 + 53811555524496 = 3208777^2 + 7335636^2 .

It is not a de Polignac number, because 64107805360225 - 2⁹ = 64107805359713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 440297637 + ... + 440443213.

Almost surely, 2^{64107805360225} is an apocalyptic number.

64107805360225 is the 8006735-th square number.

64107805360225 is the 4003368-th centered octagonal number.

It is an amenable number.

64107805360225 is a deficient number, since it is larger than the sum of its proper divisors (23270144114136).

64107805360225 is an frugal number, since it uses more digits than its factorization.

64107805360225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291186 (or 145593 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

The spelling of 64107805360225 in words is "sixty-four trillion, one hundred seven billion, eight hundred five million, three hundred sixty thousand, two hundred twenty-five".