563218951680 has 2880 divisors, whose sum is σ = 2716826112000. Its totient is φ = 107296358400.

The previous prime is 563218951663. The next prime is 563218951703. The reversal of 563218951680 is 86159812365.

563218951680 is a `hidden beast` number, since 5 + 6 + 32 + 18 + 9 + 516 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 18168353265 + ... + 18168353295.

It is an arithmetic number, because the mean of its divisors is an integer number (943342400).

Almost surely, 2^563218951680 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 563218951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358413056000).

563218951680 is an abundant number, since it is smaller than the sum of its proper divisors (2153607160320).

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

563218951680 is a wasteful number, since it uses less digits than its factorization.

563218951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 563218951680 in words is "five hundred sixty-three billion, two hundred eighteen million, nine hundred fifty-one thousand, six hundred eighty".