563768240000 has 320 divisors, whose sum is σ = 1616794460160. Its totient is φ = 191745792000.

The previous prime is 563768239963. The next prime is 563768240047. The reversal of 563768240000 is 42867365.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 563768240000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71116037 + ... + 71123963.

It is an arithmetic number, because the mean of its divisors is an integer number (5052482688).

Almost surely, 2^563768240000 is an apocalyptic number.

563768240000 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 563768240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808397230080).

563768240000 is an abundant number, since it is smaller than the sum of its proper divisors (1053026220160).

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

563768240000 is an equidigital number, since it uses as much as digits as its factorization.

563768240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8095 (or 8068 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 563768240000 in words is "five hundred sixty-three billion, seven hundred sixty-eight million, two hundred forty thousand".