4560245760 has 528 divisors, whose sum is σ = 17406639936. Its totient is φ = 1015676928.

The previous prime is 4560245749. The next prime is 4560245827. The reversal of 4560245760 is 675420654.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54942679 + ... + 54942761.

Almost surely, 2^4560245760 is an apocalyptic number.

4560245760 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 4560245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8703319968).

4560245760 is an abundant number, since it is smaller than the sum of its proper divisors (12846394176).

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

4560245760 is a wasteful number, since it uses less digits than its factorization.

4560245760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 4560245760 is about 67529.5917357717. The cubic root of 4560245760 is about 1658.2986584895.

The spelling of 4560245760 in words is "four billion, five hundred sixty million, two hundred forty-five thousand, seven hundred sixty".