5684329728000 has 1728 divisors, whose sum is σ = 25688107186560. Its totient is φ = 1174560768000.

The previous prime is 5684329727969. The next prime is 5684329728013. The reversal of 5684329728000 is 8279234865.

5684329728000 is a `hidden beast` number, since 5 + 68 + 432 + 9 + 72 + 80 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 31756031911 + ... + 31756032089.

It is an arithmetic number, because the mean of its divisors is an integer number (14865802770).

Almost surely, 2^{5684329728000} is an apocalyptic number.

5684329728000 is a gapful number since it is divisible by the number (50) 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 5684329728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12844053593280).

5684329728000 is an abundant number, since it is smaller than the sum of its proper divisors (20003777458560).

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

5684329728000 is a wasteful number, since it uses less digits than its factorization.

5684329728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 5684329728000 in words is "five trillion, six hundred eighty-four billion, three hundred twenty-nine million, seven hundred twenty-eight thousand".