6732728000 has 112 divisors (see below), whose sum is σ = 16798040064. Its totient is φ = 2672998400.

The previous prime is 6732727997. The next prime is 6732728021. The reversal of 6732728000 is 8272376.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1092929 + ... + 1099071.

Almost surely, 2^6732728000 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 6732728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8399020032).

6732728000 is an abundant number, since it is smaller than the sum of its proper divisors (10065312064).

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

6732728000 is a wasteful number, since it uses less digits than its factorization.

6732728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6307 (or 6287 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 35.

The square root of 6732728000 is about 82053.2022531723. The cubic root of 6732728000 is about 1888.2682456647.

The spelling of 6732728000 in words is "six billion, seven hundred thirty-two million, seven hundred twenty-eight thousand".