6728716800 has 360 divisors, whose sum is σ = 25938316404. Its totient is φ = 1655930880.

The previous prime is 6728716781. The next prime is 6728716817. The reversal of 6728716800 is 86178276.

It can be written as a sum of positive squares in 6 ways, for example, as 3536918784 + 3191798016 = 59472^2 + 56496^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1495354 + ... + 1499846.

Almost surely, 2^6728716800 is an apocalyptic number.

6728716800 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 6728716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12969158202).

6728716800 is an abundant number, since it is smaller than the sum of its proper divisors (19209599604).

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

6728716800 is a wasteful number, since it uses less digits than its factorization.

6728716800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 6728716800 is about 82028.7559335139. The cubic root of 6728716800 is about 1887.8931759918.

The spelling of 6728716800 in words is "six billion, seven hundred twenty-eight million, seven hundred sixteen thousand, eight hundred".