6582442856 has 64 divisors (see below), whose sum is σ = 13688136000. Its totient is φ = 2942645760.

The previous prime is 6582442849. The next prime is 6582442861.

6582442856 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

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, 1330820 + ... + 1335756.

It is an arithmetic number, because the mean of its divisors is an integer number (213877125).

Almost surely, 2^6582442856 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 6582442856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6844068000).

6582442856 is an abundant number, since it is smaller than the sum of its proper divisors (7105693144).

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

6582442856 is a wasteful number, since it uses less digits than its factorization.

6582442856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5202 (or 5198 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 50.

The square root of 6582442856 is about 81132.2553365799. The cubic root of 6582442856 is about 1874.1126805746.

The spelling of 6582442856 in words is "six billion, five hundred eighty-two million, four hundred forty-two thousand, eight hundred fifty-six".