563242348800 has 324 divisors, whose sum is σ = 2018126925360. Its totient is φ = 149869178880.

The previous prime is 563242348769. The next prime is 563242348829. The reversal of 563242348800 is 8843242365.

563242348800 is a `hidden beast` number, since 5 + 63 + 242 + 348 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×563242348800² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 26888731 + ... + 26909669.

Almost surely, 2^563242348800 is an apocalyptic number.

563242348800 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 563242348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009063462680).

563242348800 is an abundant number, since it is smaller than the sum of its proper divisors (1454884576560).

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

563242348800 is a wasteful number, since it uses less digits than its factorization.

563242348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21438 (or 21416 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 563242348800 in words is "five hundred sixty-three billion, two hundred forty-two million, three hundred forty-eight thousand, eight hundred".