563967516672 has 168 divisors, whose sum is σ = 1861876048656. Its totient is φ = 161133428736.

The previous prime is 563967516659. The next prime is 563967516677. The reversal of 563967516672 is 276615769365.

563967516672 is a `hidden beast` number, since 56 + 3 + 9 + 6 + 7 + 516 + 67 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×563967516672² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563967516677) 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 11 ways as a sum of consecutive naturals, for example, 30283 + ... + 1062474.

Almost surely, 2^563967516672 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 563967516672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930938024328).

563967516672 is an abundant number, since it is smaller than the sum of its proper divisors (1297908531984).

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

563967516672 is a wasteful number, since it uses less digits than its factorization.

563967516672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092796 (or 1092769 counting only the distinct ones).

The product of its digits is 85730400, while the sum is 63.

The spelling of 563967516672 in words is "five hundred sixty-three billion, nine hundred sixty-seven million, five hundred sixteen thousand, six hundred seventy-two".