5688390400 has 648 divisors, whose sum is σ = 19113370416. Its totient is φ = 1651507200.

The previous prime is 5688390377. The next prime is 5688390403. The reversal of 5688390400 is 40938865.

It is not an unprimeable number, because it can be changed into a prime (5688390403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58643152 + ... + 58643248.

It is an arithmetic number, because the mean of its divisors is an integer number (29495942).

Almost surely, 2^5688390400 is an apocalyptic number.

5688390400 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 5688390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9556685208).

5688390400 is an abundant number, since it is smaller than the sum of its proper divisors (13424980016).

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

5688390400 is a wasteful number, since it uses less digits than its factorization.

5688390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 5688390400 is about 75421.4187084809. The cubic root of 5688390400 is about 1785.1023906407.

The spelling of 5688390400 in words is "five billion, six hundred eighty-eight million, three hundred ninety thousand, four hundred".