4560016000 has 128 divisors (see below), whose sum is σ = 11451548160. Its totient is φ = 1805644800.

The previous prime is 4560015991. The next prime is 4560016007. The reversal of 4560016000 is 6100654.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (4560016007) 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 15 ways as a sum of consecutive naturals, for example, 1646617 + ... + 1649383.

It is an arithmetic number, because the mean of its divisors is an integer number (89465220).

Almost surely, 2^4560016000 is an apocalyptic number.

4560016000 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 4560016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5725774080).

4560016000 is an abundant number, since it is smaller than the sum of its proper divisors (6891532160).

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

4560016000 is a wasteful number, since it uses less digits than its factorization.

4560016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2877 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 4560016000 is about 67527.8905342082. The cubic root of 4560016000 is about 1658.2708078634.

Adding to 4560016000 its reverse (6100654), we get a palindrome (4566116654).

The spelling of 4560016000 in words is "four billion, five hundred sixty million, sixteen thousand".