6580880856 has 128 divisors (see below), whose sum is σ = 19986220800. Its totient is φ = 1989792000.

The previous prime is 6580880771. The next prime is 6580880879.

6580880856 is a `hidden beast` number, since 6 + 580 + 8 + 8 + 0 + 8 + 56 = 666.

6580880856 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1163796 + ... + 1169436.

It is an arithmetic number, because the mean of its divisors is an integer number (156142350).

Almost surely, 2^6580880856 is an apocalyptic number.

6580880856 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 6580880856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9993110400).

6580880856 is an abundant number, since it is smaller than the sum of its proper divisors (13405339944).

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

6580880856 is a wasteful number, since it uses less digits than its factorization.

6580880856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6158 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The square root of 6580880856 is about 81122.6285077105. The cubic root of 6580880856 is about 1873.9644278335.

The spelling of 6580880856 in words is "six billion, five hundred eighty million, eight hundred eighty thousand, eight hundred fifty-six".