563616000 has 432 divisors, whose sum is σ = 2155520640. Its totient is φ = 141004800.

The previous prime is 563615953. The next prime is 563616013. The reversal of 563616000 is 616365.

563616000 is a `hidden beast` number, since 56 + 3 + 6 + 1 + 600 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5471949 + ... + 5472051.

Almost surely, 2^563616000 is an apocalyptic number.

563616000 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 563616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077760320).

563616000 is an abundant number, since it is smaller than the sum of its proper divisors (1591904640).

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

563616000 is a wasteful number, since it uses less digits than its factorization.

563616000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 563616000 is about 23740.5981390529. The cubic root of 563616000 is about 826.0273702254.

The spelling of 563616000 in words is "five hundred sixty-three million, six hundred sixteen thousand".