563831806487040 has 9600 divisors, whose sum is σ = 2822071775846400. Its totient is φ = 106188279644160.

The previous prime is 563831806487029. The next prime is 563831806487041. The reversal of 563831806487040 is 40784608138365.

563831806487040 is a `hidden beast` number, since 5 + 6 + 3 + 8 + 31 + 80 + 6 + 487 + 0 + 40 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (563831806487041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 4439620523457 + ... + 4439620523583.

It is an arithmetic number, because the mean of its divisors is an integer number (293965809984).

Almost surely, 2^{563831806487040} 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 563831806487040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411035887923200).

563831806487040 is an abundant number, since it is smaller than the sum of its proper divisors (2258239969359360).

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

563831806487040 is a wasteful number, since it uses less digits than its factorization.

563831806487040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 563831806487040 in words is "five hundred sixty-three trillion, eight hundred thirty-one billion, eight hundred six million, four hundred eighty-seven thousand, forty".