6581713320 has 576 divisors, whose sum is σ = 27815598720. Its totient is φ = 1387362816.

The previous prime is 6581713301. The next prime is 6581713321. The reversal of 6581713320 is 233171856.

6581713320 is a `hidden beast` number, since 6 + 581 + 71 + 3 + 3 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (6581713321) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6191109 + ... + 6192171.

It is an arithmetic number, because the mean of its divisors is an integer number (48290970).

Almost surely, 2^6581713320 is an apocalyptic number.

6581713320 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 6581713320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13907799360).

6581713320 is an abundant number, since it is smaller than the sum of its proper divisors (21233885400).

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

6581713320 is a wasteful number, since it uses less digits than its factorization.

6581713320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 6581713320 is about 81127.7592442932. The cubic root of 6581713320 is about 1874.0434416810.

The spelling of 6581713320 in words is "six billion, five hundred eighty-one million, seven hundred thirteen thousand, three hundred twenty".