4704267824256 has 1024 divisors, whose sum is σ = 17742915993600. Its totient is φ = 1064779776000.

The previous prime is 4704267824167. The next prime is 4704267824279. The reversal of 4704267824256 is 6524287624074.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4704267824196 and 4704267824205.

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 127 ways as a sum of consecutive naturals, for example, 488547250 + ... + 488556878.

It is an arithmetic number, because the mean of its divisors is an integer number (17327066400).

Almost surely, 2^{4704267824256} 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 4704267824256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8871457996800).

4704267824256 is an abundant number, since it is smaller than the sum of its proper divisors (13038648169344).

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

4704267824256 is a wasteful number, since it uses less digits than its factorization.

4704267824256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9749 (or 9737 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 57.

The spelling of 4704267824256 in words is "four trillion, seven hundred four billion, two hundred sixty-seven million, eight hundred twenty-four thousand, two hundred fifty-six".