563999217020064 has 960 divisors, whose sum is σ = 2056944118521600. Its totient is φ = 147905900052480.

The previous prime is 563999217020059. The next prime is 563999217020137. The reversal of 563999217020064 is 460020712999365.

563999217020064 is a `hidden beast` number, since 5 + 6 + 399 + 9 + 217 + 0 + 20 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 563999217019983 and 563999217020010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 38558768719 + ... + 38558783345.

It is an arithmetic number, because the mean of its divisors is an integer number (2142650123460).

Almost surely, 2^{563999217020064} is an apocalyptic number.

563999217020064 is a gapful number since it is divisible by the number (54) 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 563999217020064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1028472059260800).

563999217020064 is an abundant number, since it is smaller than the sum of its proper divisors (1492944901501536).

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

563999217020064 is a wasteful number, since it uses less digits than its factorization.

563999217020064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17763 (or 17746 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 563999217020064 in words is "five hundred sixty-three trillion, nine hundred ninety-nine billion, two hundred seventeen million, twenty thousand, sixty-four".