563888631936 has 768 divisors, whose sum is σ = 1857503232000. Its totient is φ = 150897696768.

The previous prime is 563888631899. The next prime is 563888631941. The reversal of 563888631936 is 639136888365.

It is a super-3 number, since 3×563888631936³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4440067905 + ... + 4440068031.

It is an arithmetic number, because the mean of its divisors is an integer number (2418624000).

Almost surely, 2^563888631936 is an apocalyptic number.

563888631936 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 563888631936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928751616000).

563888631936 is an abundant number, since it is smaller than the sum of its proper divisors (1293614600064).

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

563888631936 is a wasteful number, since it uses less digits than its factorization.

563888631936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 350 counting only the distinct ones).

The product of its digits is 134369280, while the sum is 66.

The spelling of 563888631936 in words is "five hundred sixty-three billion, eight hundred eighty-eight million, six hundred thirty-one thousand, nine hundred thirty-six".