5681932800 has 240 divisors, whose sum is σ = 19017651840. Its totient is φ = 1495203840.

The previous prime is 5681932799. The next prime is 5681932871. The reversal of 5681932800 is 82391865.

It is a tau number, because it is divible by the number of its divisors (240).

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 23 ways as a sum of consecutive naturals, for example, 3032664 + ... + 3034536.

It is an arithmetic number, because the mean of its divisors is an integer number (79240216).

Almost surely, 2^5681932800 is an apocalyptic number.

5681932800 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 5681932800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9508825920).

5681932800 is an abundant number, since it is smaller than the sum of its proper divisors (13335719040).

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

5681932800 is a wasteful number, since it uses less digits than its factorization.

5681932800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 5681932800 is about 75378.5964316131. The cubic root of 5681932800 is about 1784.4266375582.

The spelling of 5681932800 in words is "five billion, six hundred eighty-one million, nine hundred thirty-two thousand, eight hundred".