6586342672 has 80 divisors (see below), whose sum is σ = 15722743680. Its totient is φ = 2602791936.

The previous prime is 6586342669. The next prime is 6586342703. The reversal of 6586342672 is 2762436856.

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, 1831308 + ... + 1834900.

It is an arithmetic number, because the mean of its divisors is an integer number (196534296).

Almost surely, 2^6586342672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6586342672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7861371840).

6586342672 is an abundant number, since it is smaller than the sum of its proper divisors (9136401008).

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

6586342672 is a wasteful number, since it uses less digits than its factorization.

6586342672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4880 (or 4874 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 49.

The square root of 6586342672 is about 81156.2854743858. The cubic root of 6586342672 is about 1874.4827180561.

The spelling of 6586342672 in words is "six billion, five hundred eighty-six million, three hundred forty-two thousand, six hundred seventy-two".