563793576768 has 784 divisors, whose sum is σ = 1798270963776. Its totient is φ = 175068241920.

The previous prime is 563793576739. The next prime is 563793576779. The reversal of 563793576768 is 867675397365.

563793576768 is a `hidden beast` number, since 563 + 7 + 9 + 3 + 57 + 6 + 7 + 6 + 8 = 666.

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 = 563793576696 and 563793576705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6792693655 + ... + 6792693737.

It is an arithmetic number, because the mean of its divisors is an integer number (2293712964).

Almost surely, 2^563793576768 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 563793576768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899135481888).

563793576768 is an abundant number, since it is smaller than the sum of its proper divisors (1234477387008).

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

563793576768 is an equidigital number, since it uses as much as digits as its factorization.

563793576768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 249 counting only the distinct ones).

The product of its digits is 1200225600, while the sum is 72.

The spelling of 563793576768 in words is "five hundred sixty-three billion, seven hundred ninety-three million, five hundred seventy-six thousand, seven hundred sixty-eight".