6728836800 has 672 divisors, whose sum is σ = 26557427200. Its totient is φ = 1490227200.

The previous prime is 6728836799. The next prime is 6728836801. The reversal of 6728836800 is 86388276.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6728836799) and next prime (6728836801).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 6728836800.

It is not an unprimeable number, because it can be changed into a prime (6728836801) 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 95 ways as a sum of consecutive naturals, for example, 100430367 + ... + 100430433.

Almost surely, 2^6728836800 is an apocalyptic number.

6728836800 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 6728836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13278713600).

6728836800 is an abundant number, since it is smaller than the sum of its proper divisors (19828590400).

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

6728836800 is a wasteful number, since it uses less digits than its factorization.

6728836800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The square root of 6728836800 is about 82029.4873810632. The cubic root of 6728836800 is about 1887.9043988267.

The spelling of 6728836800 in words is "six billion, seven hundred twenty-eight million, eight hundred thirty-six thousand, eight hundred".