563640000 has 560 divisors, whose sum is σ = 2361444096. Its totient is φ = 115200000.

The previous prime is 563639963. The next prime is 563640019. The reversal of 563640000 is 46365.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9239970 + ... + 9240030.

Almost surely, 2^563640000 is an apocalyptic number.

563640000 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 563640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180722048).

563640000 is an abundant number, since it is smaller than the sum of its proper divisors (1797804096).

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

563640000 is a wasteful number, since it uses less digits than its factorization.

563640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 563640000 is about 23741.1035969266. The cubic root of 563640000 is about 826.0390947420.

Adding to 563640000 its reverse (46365), we get a palindrome (563686365).

The spelling of 563640000 in words is "five hundred sixty-three million, six hundred forty thousand".