5638385600 has 336 divisors, whose sum is σ = 15381890496. Its totient is φ = 2027520000.

The previous prime is 5638385591. The next prime is 5638385663. The reversal of 5638385600 is 65838365.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55825550 + ... + 55825650.

It is an arithmetic number, because the mean of its divisors is an integer number (45779436).

Almost surely, 2^5638385600 is an apocalyptic number.

5638385600 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 5638385600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7690945248).

5638385600 is an abundant number, since it is smaller than the sum of its proper divisors (9743504896).

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

5638385600 is a wasteful number, since it uses less digits than its factorization.

5638385600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The square root of 5638385600 is about 75089.1843077284. The cubic root of 5638385600 is about 1779.8562354958.

The spelling of 5638385600 in words is "five billion, six hundred thirty-eight million, three hundred eighty-five thousand, six hundred".