6586813332 has 144 divisors (see below), whose sum is σ = 18468882432. Its totient is φ = 1962757440.

The previous prime is 6586813313. The next prime is 6586813339. The reversal of 6586813332 is 2333186856.

6586813332 is a `hidden beast` number, since 6 + 586 + 8 + 1 + 33 + 32 = 666.

It is a super-2 number, since 2×6586813332² = 86772219741225884448, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6586813339) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6811113 + ... + 6812079.

It is an arithmetic number, because the mean of its divisors is an integer number (128256128).

Almost surely, 2^6586813332 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 6586813332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9234441216).

6586813332 is an abundant number, since it is smaller than the sum of its proper divisors (11882069100).

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

6586813332 is a wasteful number, since it uses less digits than its factorization.

6586813332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1253 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 6586813332 is about 81159.1851363726. The cubic root of 6586813332 is about 1874.5273671664.

It can be divided in two parts, 6586 and 813332, that added together give a palindrome (819918).

The spelling of 6586813332 in words is "six billion, five hundred eighty-six million, eight hundred thirteen thousand, three hundred thirty-two".