4500610560 has 640 divisors, whose sum is σ = 17677440000. Its totient is φ = 1080262656.

The previous prime is 4500610553. The next prime is 4500610573. The reversal of 4500610560 is 650160054.

It is a happy number.

4500610560 is a `hidden beast` number, since 45 + 0 + 0 + 61 + 0 + 560 = 666.

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30205366 + ... + 30205514.

It is an arithmetic number, because the mean of its divisors is an integer number (27621000).

Almost surely, 2^4500610560 is an apocalyptic number.

4500610560 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 4500610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8838720000).

4500610560 is an abundant number, since it is smaller than the sum of its proper divisors (13176829440).

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

4500610560 is a wasteful number, since it uses less digits than its factorization.

4500610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 4500610560 is about 67086.5900161873. The cubic root of 4500610560 is about 1651.0382886521.

The spelling of 4500610560 in words is "four billion, five hundred million, six hundred ten thousand, five hundred sixty".