4728007839744 has 416 divisors, whose sum is σ = 16398785652480. Its totient is φ = 1317902745600.

The previous prime is 4728007839733. The next prime is 4728007839809. The reversal of 4728007839744 is 4479387008274.

4728007839744 is a `hidden beast` number, since 472 + 8 + 0 + 0 + 78 + 3 + 97 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31665424 + ... + 31814384.

Almost surely, 2^{4728007839744} 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 4728007839744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8199392826240).

4728007839744 is an abundant number, since it is smaller than the sum of its proper divisors (11670777812736).

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

4728007839744 is a wasteful number, since it uses less digits than its factorization.

4728007839744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149042 (or 149014 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 4728007839744 in words is "four trillion, seven hundred twenty-eight billion, seven million, eight hundred thirty-nine thousand, seven hundred forty-four".