6577696609 has 27 divisors (see below), whose sum is σ = 7403725497. Its totient is φ = 5839416000.

The previous prime is 6577696603. The next prime is 6577696637. The reversal of 6577696609 is 9066967756.

The square root of 6577696609 is 81103.

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 2433942225 + 4143754384 = 49335^2 + 64372^2 .

It is not a de Polignac number, because 6577696609 - 2¹³ = 6577688417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6577696603) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 65125659 + ... + 65125759.

Almost surely, 2^6577696609 is an apocalyptic number.

6577696609 is the 81103-rd square number.

6577696609 is the 40552-nd centered octagonal number.

It is an amenable number.

6577696609 is a deficient number, since it is larger than the sum of its proper divisors (826028888).

6577696609 is an equidigital number, since it uses as much as digits as its factorization.

6577696609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 25719120, while the sum is 61.

The cubic root of 6577696609 is about 1873.6621315083.

The spelling of 6577696609 in words is "six billion, five hundred seventy-seven million, six hundred ninety-six thousand, six hundred nine".