6578871034761 has 27 divisors (see below), whose sum is σ = 9709836876493. Its totient is φ = 4292360729880.

The previous prime is 6578871034733. The next prime is 6578871034783. The reversal of 6578871034761 is 1674301788756.

The square root of 6578871034761 is 2564931.

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

6578871034761 is a `hidden beast` number, since 6 + 5 + 78 + 87 + 10 + 3 + 476 + 1 = 666.

It is not a de Polignac number, because 6578871034761 - 2⁹ = 6578871034249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6578871034721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 361646176 + ... + 361664366.

Almost surely, 2^{6578871034761} is an apocalyptic number.

6578871034761 is the 2564931-st square number.

6578871034761 is the 1282466-th centered octagonal number.

It is an amenable number.

6578871034761 is a deficient number, since it is larger than the sum of its proper divisors (3130965841732).

6578871034761 is an frugal number, since it uses more digits than its factorization.

6578871034761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36482 (or 18241 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 6578871034761 in words is "six trillion, five hundred seventy-eight billion, eight hundred seventy-one million, thirty-four thousand, seven hundred sixty-one".