563040640 has 64 divisors (see below), whose sum is σ = 1350120960. Its totient is φ = 224530432.

The previous prime is 563040617. The next prime is 563040649. The reversal of 563040640 is 46040365.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 563040599 and 563040608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (563040649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 243972 + ... + 246268.

It is an arithmetic number, because the mean of its divisors is an integer number (21095640).

Almost surely, 2^563040640 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 563040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675060480).

563040640 is an abundant number, since it is smaller than the sum of its proper divisors (787080320).

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

563040640 is a wasteful number, since it uses less digits than its factorization.

563040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2687 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 563040640 is about 23728.4774058514. The cubic root of 563040640 is about 825.7461947906.

The spelling of 563040640 in words is "five hundred sixty-three million, forty thousand, six hundred forty".