563120640 has 160 divisors (see below), whose sum is σ = 2000496960. Its totient is φ = 150147072.

The previous prime is 563120587. The next prime is 563120641. The reversal of 563120640 is 46021365.

563120640 is a `hidden beast` number, since 5 + 6 + 3 + 12 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (563120641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65047 + ... + 73193.

It is an arithmetic number, because the mean of its divisors is an integer number (12503106).

Almost surely, 2^563120640 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 563120640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000248480).

563120640 is an abundant number, since it is smaller than the sum of its proper divisors (1437376320).

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

563120640 is an equidigital number, since it uses as much as digits as its factorization.

563120640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8179 (or 8157 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 563120640 is about 23730.1630841425. The cubic root of 563120640 is about 825.7853018357.

The spelling of 563120640 in words is "five hundred sixty-three million, one hundred twenty thousand, six hundred forty".