563368099968 has 640 divisors, whose sum is σ = 1825482510720. Its totient is φ = 171980734464.

The previous prime is 563368099933. The next prime is 563368099969. The reversal of 563368099968 is 869990863365.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 563368099896 and 563368099905.

It is not an unprimeable number, because it can be changed into a prime (563368099969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 591151780 + ... + 591152732.

It is an arithmetic number, because the mean of its divisors is an integer number (2852316423).

Almost surely, 2^563368099968 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 563368099968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912741255360).

563368099968 is an abundant number, since it is smaller than the sum of its proper divisors (1262114410752).

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

563368099968 is a wasteful number, since it uses less digits than its factorization.

563368099968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 72.

The spelling of 563368099968 in words is "five hundred sixty-three billion, three hundred sixty-eight million, ninety-nine thousand, nine hundred sixty-eight".