563361840000 has 960 divisors, whose sum is σ = 2095735150080. Its totient is φ = 145152000000.

The previous prime is 563361839951. The next prime is 563361840001. The reversal of 563361840000 is 48163365.

563361840000 is a `hidden beast` number, since 5 + 6 + 33 + 618 + 4 + 0 + 0 + 0 + 0 = 666.

563361840000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563361840001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4435919937 + ... + 4435920063.

It is an arithmetic number, because the mean of its divisors is an integer number (2183057448).

Almost surely, 2^563361840000 is an apocalyptic number.

563361840000 is a gapful number since it is divisible by the number (50) 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 563361840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1047867575040).

563361840000 is an abundant number, since it is smaller than the sum of its proper divisors (1532373310080).

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

563361840000 is a wasteful number, since it uses less digits than its factorization.

563361840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 563361840000 in words is "five hundred sixty-three billion, three hundred sixty-one million, eight hundred forty thousand".