6724728000 has 448 divisors, whose sum is σ = 24953610240. Its totient is φ = 1772928000.

The previous prime is 6724727983. The next prime is 6724728011. The reversal of 6724728000 is 8274276.

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

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 63 ways as a sum of consecutive naturals, for example, 35207905 + ... + 35208095.

Almost surely, 2^6724728000 is an apocalyptic number.

6724728000 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 6724728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12476805120).

6724728000 is an abundant number, since it is smaller than the sum of its proper divisors (18228882240).

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

6724728000 is a wasteful number, since it uses less digits than its factorization.

6724728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 6724728000 is about 82004.4389042447. The cubic root of 6724728000 is about 1887.5200530010.

The spelling of 6724728000 in words is "six billion, seven hundred twenty-four million, seven hundred twenty-eight thousand".