6928204800 has 528 divisors, whose sum is σ = 25585862400. Its totient is φ = 1639219200.

The previous prime is 6928204799. The next prime is 6928204807. The reversal of 6928204800 is 84028296.

It is a tau number, because it is divible by the number of its divisors (528).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6928204807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49843131 + ... + 49843269.

Almost surely, 2^6928204800 is an apocalyptic number.

6928204800 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 6928204800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12792931200).

6928204800 is an abundant number, since it is smaller than the sum of its proper divisors (18657657600).

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

6928204800 is a wasteful number, since it uses less digits than its factorization.

6928204800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 6928204800 is about 83235.8384351356. The cubic root of 6928204800 is about 1906.3687299693.

The spelling of 6928204800 in words is "six billion, nine hundred twenty-eight million, two hundred four thousand, eight hundred".