5645785600 has 480 divisors, whose sum is σ = 17816109696. Its totient is φ = 1725235200.

The previous prime is 5645785549. The next prime is 5645785661. The reversal of 5645785600 is 65875465.

It is an unprimeable number.

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, 43097535 + ... + 43097665.

Almost surely, 2^5645785600 is an apocalyptic number.

5645785600 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 5645785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8908054848).

5645785600 is an abundant number, since it is smaller than the sum of its proper divisors (12170324096).

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

5645785600 is a wasteful number, since it uses less digits than its factorization.

5645785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 46.

The square root of 5645785600 is about 75138.4428904406. The cubic root of 5645785600 is about 1780.6345421061.

The spelling of 5645785600 in words is "five billion, six hundred forty-five million, seven hundred eighty-five thousand, six hundred".