6577665360 has 80 divisors (see below), whose sum is σ = 23303734656. Its totient is φ = 1503465984.

The previous prime is 6577665349. The next prime is 6577665377. The reversal of 6577665360 is 635667756.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1955959 + ... + 1959318.

Almost surely, 2^6577665360 is an apocalyptic number.

6577665360 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6577665360 is an abundant number, since it is smaller than the sum of its proper divisors (16726069296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6577665360 is a wasteful number, since it uses less digits than its factorization.

6577665360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3915300 (or 3915294 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 51.

The square root of 6577665360 is about 81102.8073496843. The cubic root of 6577665360 is about 1873.6591644027.

The spelling of 6577665360 in words is "six billion, five hundred seventy-seven million, six hundred sixty-five thousand, three hundred sixty".