6580821312 has 252 divisors, whose sum is σ = 21586025916. Its totient is φ = 1905131520.

The previous prime is 6580821281. The next prime is 6580821407. The reversal of 6580821312 is 2131280856.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1095345216 + 5485476096 = 33096^2 + 74064^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2162512 + ... + 2165552.

It is an arithmetic number, because the mean of its divisors is an integer number (85658833).

Almost surely, 2^6580821312 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 6580821312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10793012958).

6580821312 is an abundant number, since it is smaller than the sum of its proper divisors (15005204604).

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

6580821312 is a wasteful number, since it uses less digits than its factorization.

6580821312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3106 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 6580821312 is about 81122.2615069378. The cubic root of 6580821312 is about 1873.9587759217.

The spelling of 6580821312 in words is "six billion, five hundred eighty million, eight hundred twenty-one thousand, three hundred twelve".