64476130268209 has 81 divisors (see below), whose sum is σ = 73920396487203. Its totient is φ = 56195073475200.

The previous prime is 64476130268183. The next prime is 64476130268261. The reversal of 64476130268209 is 90286203167446.

The square root of 64476130268209 is 8029703.

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

It can be written as a sum of positive squares in 13 ways, for example, as 33697734750625 + 30778395517584 = 5804975^2 + 5547828^2 .

It is not a de Polignac number, because 64476130268209 - 2³³ = 64467540333617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64476130268279) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 356221714099 + ... + 356221714279.

Almost surely, 2^{64476130268209} is an apocalyptic number.

64476130268209 is the 8029703-rd square number.

64476130268209 is the 4014852-nd centered octagonal number.

It is an amenable number.

64476130268209 is a deficient number, since it is larger than the sum of its proper divisors (9444266218994).

64476130268209 is an equidigital number, since it uses as much as digits as its factorization.

64476130268209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 58.

The spelling of 64476130268209 in words is "sixty-four trillion, four hundred seventy-six billion, one hundred thirty million, two hundred sixty-eight thousand, two hundred nine".