4563630720 has 640 divisors, whose sum is σ = 18234564480. Its totient is φ = 1078272000.

The previous prime is 4563630713. The next prime is 4563630737. The reversal of 4563630720 is 270363654.

It is a tau number, because it is divible by the number of its divisors (640).

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

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, 30222645 + ... + 30222795.

It is an arithmetic number, because the mean of its divisors is an integer number (28491507).

Almost surely, 2^4563630720 is an apocalyptic number.

4563630720 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 4563630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9117282240).

4563630720 is an abundant number, since it is smaller than the sum of its proper divisors (13670933760).

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

4563630720 is a wasteful number, since it uses less digits than its factorization.

4563630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 4563630720 is about 67554.6498769700. The cubic root of 4563630720 is about 1658.7088619909.

The spelling of 4563630720 in words is "four billion, five hundred sixty-three million, six hundred thirty thousand, seven hundred twenty".