4872080016 has 240 divisors, whose sum is σ = 15054661440. Its totient is φ = 1520985600.

The previous prime is 4872079999. The next prime is 4872080029. The reversal of 4872080016 is 6100802784.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 7460746 + ... + 7461398.

It is an arithmetic number, because the mean of its divisors is an integer number (62727756).

Almost surely, 2^4872080016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4872080016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7527330720).

4872080016 is an abundant number, since it is smaller than the sum of its proper divisors (10182581424).

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

4872080016 is a wasteful number, since it uses less digits than its factorization.

4872080016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 4872080016 is about 69800.2866469759. The cubic root of 4872080016 is about 1695.2671142978.

The spelling of 4872080016 in words is "four billion, eight hundred seventy-two million, eighty thousand, sixteen".