6580086672 has 40 divisors (see below), whose sum is σ = 17008068160. Its totient is φ = 2192135040.

The previous prime is 6580086671. The next prime is 6580086743. The reversal of 6580086672 is 2766800856.

It is a super-2 number, since 2×6580086672² = 86595081222064071168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6580086671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50454 + ... + 125322.

It is an arithmetic number, because the mean of its divisors is an integer number (425201704).

Almost surely, 2^6580086672 is an apocalyptic number.

It is an amenable number.

6580086672 is an abundant number, since it is smaller than the sum of its proper divisors (10427981488).

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

6580086672 is a wasteful number, since it uses less digits than its factorization.

6580086672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76711 (or 76705 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 6580086672 is about 81117.7334002868. The cubic root of 6580086672 is about 1873.8890411453.

The spelling of 6580086672 in words is "six billion, five hundred eighty million, eighty-six thousand, six hundred seventy-two".