6327132144 has 80 divisors (see below), whose sum is σ = 16744464000. Its totient is φ = 2057626368.

The previous prime is 6327132137. The next prime is 6327132167. The reversal of 6327132144 is 4412317236.

It is a congruent number.

It is an unprimeable number.

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, 3196147 + ... + 3198125.

It is an arithmetic number, because the mean of its divisors is an integer number (209305800).

Almost surely, 2^6327132144 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 6327132144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8372232000).

6327132144 is an abundant number, since it is smaller than the sum of its proper divisors (10417331856).

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

6327132144 is a wasteful number, since it uses less digits than its factorization.

6327132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3582 (or 3576 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 6327132144 is about 79543.2721479322. The cubic root of 6327132144 is about 1849.5623161321.

The spelling of 6327132144 in words is "six billion, three hundred twenty-seven million, one hundred thirty-two thousand, one hundred forty-four".