6576808991841 has 27 divisors (see below), whose sum is σ = 10442101995507. Its totient is φ = 3985893552960.

The previous prime is 6576808991827. The next prime is 6576808991843. The reversal of 6576808991841 is 1481998086756.

The square root of 6576808991841 is 2564529.

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

6576808991841 is a `hidden beast` number, since 6 + 576 + 8 + 0 + 8 + 9 + 9 + 1 + 8 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3220966037025 + 3355842954816 = 1794705^2 + 1831896^2 .

It is a de Polignac number, because none of the positive numbers 2^k-6576808991841 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6576808991841.

It is not an unprimeable number, because it can be changed into a prime (6576808991843) 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, 84590601 + ... + 84668313.

Almost surely, 2^{6576808991841} is an apocalyptic number.

6576808991841 is the 2564529-th square number.

6576808991841 is the 1282265-th centered octagonal number.

It is an amenable number.

6576808991841 is a deficient number, since it is larger than the sum of its proper divisors (3865293003666).

6576808991841 is an frugal number, since it uses more digits than its factorization.

6576808991841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155454 (or 77727 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 72.

The spelling of 6576808991841 in words is "six trillion, five hundred seventy-six billion, eight hundred eight million, nine hundred ninety-one thousand, eight hundred forty-one".