4728660258816 has 624 divisors, whose sum is σ = 15391819497600. Its totient is φ = 1388653314048.

The previous prime is 4728660258767. The next prime is 4728660258841. The reversal of 4728660258816 is 6188520668274.

4728660258816 is a `hidden beast` number, since 4 + 7 + 2 + 8 + 6 + 602 + 5 + 8 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (624).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1236895881 + ... + 1236899703.

It is an arithmetic number, because the mean of its divisors is an integer number (24666377400).

Almost surely, 2^{4728660258816} 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 4728660258816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7695909748800).

4728660258816 is an abundant number, since it is smaller than the sum of its proper divisors (10663159238784).

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

4728660258816 is a wasteful number, since it uses less digits than its factorization.

4728660258816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3984 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 4728660258816 in words is "four trillion, seven hundred twenty-eight billion, six hundred sixty million, two hundred fifty-eight thousand, eight hundred sixteen".