4559906560 has 216 divisors, whose sum is σ = 12348646128. Its totient is φ = 1599897600.

The previous prime is 4559906551. The next prime is 4559906567. The reversal of 4559906560 is 656099554.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4559906567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13530712 + ... + 13531048.

It is an arithmetic number, because the mean of its divisors is an integer number (57169658).

Almost surely, 2^4559906560 is an apocalyptic number.

4559906560 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 4559906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6174323064).

4559906560 is an abundant number, since it is smaller than the sum of its proper divisors (7788739568).

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

4559906560 is a wasteful number, since it uses less digits than its factorization.

4559906560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 431 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 1458000, while the sum is 49.

The square root of 4559906560 is about 67527.0801975030. The cubic root of 4559906560 is about 1658.2575416374.

It can be divided in two parts, 4559 and 906560, that added together give a palindrome (911119).

The spelling of 4559906560 in words is "four billion, five hundred fifty-nine million, nine hundred six thousand, five hundred sixty".