6580093320 has 320 divisors, whose sum is σ = 22942180800. Its totient is φ = 1690191360.

The previous prime is 6580093309. The next prime is 6580093343. The reversal of 6580093320 is 233900856.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15704071 + ... + 15704489.

It is an arithmetic number, because the mean of its divisors is an integer number (71694315).

Almost surely, 2^6580093320 is an apocalyptic number.

6580093320 is a gapful number since it is divisible by the number (60) 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 6580093320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11471090400).

6580093320 is an abundant number, since it is smaller than the sum of its proper divisors (16362087480).

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

6580093320 is a wasteful number, since it uses less digits than its factorization.

6580093320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6580093320 is about 81117.7743777527. The cubic root of 6580093320 is about 1873.8896722216.

The spelling of 6580093320 in words is "six billion, five hundred eighty million, ninety-three thousand, three hundred twenty".