563639040 has 288 divisors, whose sum is σ = 2048578560. Its totient is φ = 146681856.

The previous prime is 563639039. The next prime is 563639051. The reversal of 563639040 is 40936365.

563639040 is a `hidden beast` number, since 563 + 6 + 3 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 563638986 and 563639004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1624147 + ... + 1624493.

It is an arithmetic number, because the mean of its divisors is an integer number (7113120).

Almost surely, 2^563639040 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 563639040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024289280).

563639040 is an abundant number, since it is smaller than the sum of its proper divisors (1484939520).

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

563639040 is a wasteful number, since it uses less digits than its factorization.

563639040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 563639040 is about 23741.0833788182. The cubic root of 563639040 is about 826.0386257677.

The spelling of 563639040 in words is "five hundred sixty-three million, six hundred thirty-nine thousand, forty".