6580828820 has 48 divisors (see below), whose sum is σ = 14350866768. Its totient is φ = 2532925440.

The previous prime is 6580828801. The next prime is 6580828823. The reversal of 6580828820 is 288280856.

It can be written as a sum of positive squares in 8 ways, for example, as 1435348996 + 5145479824 = 37886^2 + 71732^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6580828823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4892 + ... + 114828.

It is an arithmetic number, because the mean of its divisors is an integer number (298976391).

Almost surely, 2^6580828820 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 6580828820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7175433384).

6580828820 is an abundant number, since it is smaller than the sum of its proper divisors (7770037948).

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

6580828820 is a wasteful number, since it uses less digits than its factorization.

6580828820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110060 (or 110058 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 47.

The square root of 6580828820 is about 81122.3077827548. The cubic root of 6580828820 is about 1873.9594885823.

The spelling of 6580828820 in words is "six billion, five hundred eighty million, eight hundred twenty-eight thousand, eight hundred twenty".