4563630900 has 216 divisors, whose sum is σ = 15544838400. Its totient is φ = 1115596800.

The previous prime is 4563630853. The next prime is 4563630901. The reversal of 4563630900 is 90363654.

4563630900 is a `hidden beast` number, since 4 + 563 + 6 + 3 + 0 + 90 + 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 (4563630901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 525796 + ... + 534404.

Almost surely, 2^4563630900 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 4563630900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7772419200).

4563630900 is an abundant number, since it is smaller than the sum of its proper divisors (10981207500).

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

4563630900 is a wasteful number, since it uses less digits than its factorization.

4563630900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8679 (or 8669 counting only the distinct ones).

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

The square root of 4563630900 is about 67554.6512092247. The cubic root of 4563630900 is about 1658.7088837986.

The spelling of 4563630900 in words is "four billion, five hundred sixty-three million, six hundred thirty thousand, nine hundred".