563648633856 has 1056 divisors, whose sum is σ = 2143906617600. Its totient is φ = 144641064960.

The previous prime is 563648633851. The next prime is 563648633861. The reversal of 563648633856 is 658336846365.

It is a happy number.

563648633856 is a `hidden beast` number, since 563 + 6 + 4 + 8 + 63 + 3 + 8 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (563648633851) and next prime (563648633861).

It is a tau number, because it is divible by the number of its divisors (1056).

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 = 563648633793 and 563648633802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563648633851) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1624347475 + ... + 1624347821.

It is an arithmetic number, because the mean of its divisors is an integer number (2030214600).

Almost surely, 2^563648633856 is an apocalyptic number.

563648633856 is a gapful number since it is divisible by the number (56) 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 563648633856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1071953308800).

563648633856 is an abundant number, since it is smaller than the sum of its proper divisors (1580257983744).

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

563648633856 is a wasteful number, since it uses less digits than its factorization.

563648633856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510 (or 479 counting only the distinct ones).

The product of its digits is 223948800, while the sum is 63.

The spelling of 563648633856 in words is "five hundred sixty-three billion, six hundred forty-eight million, six hundred thirty-three thousand, eight hundred fifty-six".