6582002856 has 128 divisors (see below), whose sum is σ = 19361341440. Its totient is φ = 1838304000.

The previous prime is 6582002839. The next prime is 6582002891.

6582002856 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3372681 + ... + 3374631.

It is an arithmetic number, because the mean of its divisors is an integer number (151260480).

Almost surely, 2^6582002856 is an apocalyptic number.

6582002856 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6582002856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9680670720).

6582002856 is an abundant number, since it is smaller than the sum of its proper divisors (12779338584).

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

6582002856 is a wasteful number, since it uses less digits than its factorization.

6582002856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2967 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 6582002856 is about 81129.5436693687. The cubic root of 6582002856 is about 1874.0709216120.

The spelling of 6582002856 in words is "six billion, five hundred eighty-two million, two thousand, eight hundred fifty-six".