4563804960 has 576 divisors, whose sum is σ = 18822585600. Its totient is φ = 992010240.

The previous prime is 4563804941. The next prime is 4563804967. The reversal of 4563804960 is 694083654.

4563804960 is a `hidden beast` number, since 4 + 5 + 638 + 0 + 4 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4563804967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7618741 + ... + 7619339.

It is an arithmetic number, because the mean of its divisors is an integer number (32678100).

Almost surely, 2^4563804960 is an apocalyptic number.

4563804960 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 4563804960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9411292800).

4563804960 is an abundant number, since it is smaller than the sum of its proper divisors (14258780640).

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

4563804960 is a wasteful number, since it uses less digits than its factorization.

4563804960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4563804960 is about 67555.9394872131. The cubic root of 4563804960 is about 1658.7299716272.

The spelling of 4563804960 in words is "four billion, five hundred sixty-three million, eight hundred four thousand, nine hundred sixty".