563645600 has 144 divisors (see below), whose sum is σ = 1582773696. Its totient is φ = 192000000.

The previous prime is 563645597. The next prime is 563645609. The reversal of 563645600 is 6546365.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (563645609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1405400 + ... + 1405800.

It is an arithmetic number, because the mean of its divisors is an integer number (10991484).

Almost surely, 2^563645600 is an apocalyptic number.

563645600 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 563645600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791386848).

563645600 is an abundant number, since it is smaller than the sum of its proper divisors (1019128096).

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

563645600 is a wasteful number, since it uses less digits than its factorization.

563645600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 679 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The square root of 563645600 is about 23741.2215355487. The cubic root of 563645600 is about 826.0418304147.

The spelling of 563645600 in words is "five hundred sixty-three million, six hundred forty-five thousand, six hundred".