6864805577 has 12 divisors (see below), whose sum is σ = 7987710276. Its totient is φ = 5882556960.

The previous prime is 6864805559. The next prime is 6864805589. The reversal of 6864805577 is 7755084686.

It can be written as a sum of positive squares in 2 ways, for example, as 3413948041 + 3450857536 = 58429^2 + 58744^2 .

It is a de Polignac number, because none of the positive numbers 2^k-6864805577 is a prime.

It is a super-3 number, since 3×6864805577³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (6864805777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 191927 + ... + 224867.

It is an arithmetic number, because the mean of its divisors is an integer number (665642523).

Almost surely, 2^6864805577 is an apocalyptic number.

It is an amenable number.

6864805577 is a deficient number, since it is larger than the sum of its proper divisors (1122904699).

6864805577 is a wasteful number, since it uses less digits than its factorization.

6864805577 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37208 (or 37201 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 56.

The square root of 6864805577 is about 82854.1222692028. The cubic root of 6864805577 is about 1900.5359131846.

The spelling of 6864805577 in words is "six billion, eight hundred sixty-four million, eight hundred five thousand, five hundred seventy-seven".