6582332856 has 128 divisors (see below), whose sum is σ = 18740943360. Its totient is φ = 1908748800.

The previous prime is 6582332761. The next prime is 6582332857.

6582332856 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6582332857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590325 + ... + 601371.

It is an arithmetic number, because the mean of its divisors is an integer number (146413620).

Almost surely, 2^6582332856 is an apocalyptic number.

6582332856 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 6582332856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9370471680).

6582332856 is an abundant number, since it is smaller than the sum of its proper divisors (12158610504).

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

6582332856 is a wasteful number, since it uses less digits than its factorization.

6582332856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11165 (or 11161 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 48.

The square root of 6582332856 is about 81131.5774282739. The cubic root of 6582332856 is about 1874.1022410084.

The spelling of 6582332856 in words is "six billion, five hundred eighty-two million, three hundred thirty-two thousand, eight hundred fifty-six".