4563610560 has 252 divisors, whose sum is σ = 16677622728. Its totient is φ = 1145167872.

The previous prime is 4563610523. The next prime is 4563610561. The reversal of 4563610560 is 650163654.

4563610560 is a `hidden beast` number, since 4 + 5 + 636 + 10 + 5 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4563610561) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 829579 + ... + 835061.

Almost surely, 2^4563610560 is an apocalyptic number.

4563610560 is a gapful number since it is divisible by the number (40) 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 4563610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8338811364).

4563610560 is an abundant number, since it is smaller than the sum of its proper divisors (12114012168).

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

4563610560 is a wasteful number, since it uses less digits than its factorization.

4563610560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5540 (or 5510 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 4563610560 is about 67554.5006642785. The cubic root of 4563610560 is about 1658.7064195190.

The spelling of 4563610560 in words is "four billion, five hundred sixty-three million, six hundred ten thousand, five hundred sixty".