563643360 has 576 divisors, whose sum is σ = 2421619200. Its totient is φ = 120932352.

The previous prime is 563643331. The next prime is 563643361. The reversal of 563643360 is 63346365.

It is a happy number.

563643360 is a `hidden beast` number, since 5 + 6 + 3 + 643 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563643361) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 5170986 + ... + 5171094.

It is an arithmetic number, because the mean of its divisors is an integer number (4204200).

Almost surely, 2^563643360 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 563643360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1210809600).

563643360 is an abundant number, since it is smaller than the sum of its proper divisors (1857975840).

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

563643360 is a wasteful number, since it uses less digits than its factorization.

563643360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The square root of 563643360 is about 23741.1743601701. The cubic root of 563643360 is about 826.0407361478.

The spelling of 563643360 in words is "five hundred sixty-three million, six hundred forty-three thousand, three hundred sixty".