4539618720 has 720 divisors, whose sum is σ = 19655154792. Its totient is φ = 948326400.

The previous prime is 4539618709. The next prime is 4539618799. The reversal of 4539618720 is 278169354.

4539618720 is a `hidden beast` number, since 4 + 5 + 3 + 9 + 618 + 7 + 20 = 666.

4539618720 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3958423056 + 581195664 = 62916^2 + 24108^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

4539618720 is strictly pandigital in base 10.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 44946670 + ... + 44946770.

It is a 1-persistent number, because it is pandigital, but 2⋅4539618720 = 9079237440 is not.

Almost surely, 2^4539618720 is an apocalyptic number.

4539618720 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 4539618720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9827577396).

4539618720 is an abundant number, since it is smaller than the sum of its proper divisors (15115536072).

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

4539618720 is a wasteful number, since it uses less digits than its factorization.

4539618720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 4539618720 is about 67376.6927060092. The cubic root of 4539618720 is about 1655.7945904992.

The spelling of 4539618720 in words is "four billion, five hundred thirty-nine million, six hundred eighteen thousand, seven hundred twenty".