4720503619584 has 765 divisors, whose sum is σ = 15111319637029. Its totient is φ = 1468378644480.

The previous prime is 4720503619523. The next prime is 4720503619591. The reversal of 4720503619584 is 4859163050274.

It is a happy number.

The square root of 4720503619584 is 2172672.

It is a perfect power (a square), and thus also a powerful number.

4720503619584 is a `hidden beast` number, since 4 + 7 + 2 + 0 + 50 + 3 + 6 + 1 + 9 + 584 = 666.

It can be written as a sum of positive squares in only one way, i.e., 227460317184 + 4493043302400 = 476928^2 + 2119680^2 .

It is a super-3 number, since 3×4720503619584³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4720503619584.

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 44 ways as a sum of consecutive naturals, for example, 115134234604 + ... + 115134234644.

It is a 1-persistent number, because it is pandigital, but 2⋅4720503619584 = 9441007239168 is not.

Almost surely, 2^{4720503619584} is an apocalyptic number.

4720503619584 is the 2172672-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4720503619584

4720503619584 is an abundant number, since it is smaller than the sum of its proper divisors (10390816017445).

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

4720503619584 is an frugal number, since it uses more digits than its factorization.

4720503619584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 4720503619584 in words is "four trillion, seven hundred twenty billion, five hundred three million, six hundred nineteen thousand, five hundred eighty-four".