6732844128 has 72 divisors (see below), whose sum is σ = 19185002928. Its totient is φ = 2239771392.

The previous prime is 6732844127. The next prime is 6732844159. The reversal of 6732844128 is 8214482376.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6732844121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121626 + ... + 168102.

It is an arithmetic number, because the mean of its divisors is an integer number (266458374).

Almost surely, 2^6732844128 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 6732844128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9592501464).

6732844128 is an abundant number, since it is smaller than the sum of its proper divisors (12452158800).

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

6732844128 is a wasteful number, since it uses less digits than its factorization.

6732844128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46996 (or 46985 counting only the distinct ones).

The product of its digits is 516096, while the sum is 45.

The square root of 6732844128 is about 82053.9098885605. The cubic root of 6732844128 is about 1888.2791020641.

It can be divided in two parts, 6732 and 844128, that added together give a triangular number (850860 = T₁₃₀₄).

The spelling of 6732844128 in words is "six billion, seven hundred thirty-two million, eight hundred forty-four thousand, one hundred twenty-eight".