4759808256 has 432 divisors, whose sum is σ = 16899792000. Its totient is φ = 1284304896.

The previous prime is 4759808219. The next prime is 4759808311. The reversal of 4759808256 is 6528089574.

4759808256 is a `hidden beast` number, since 47 + 598 + 0 + 8 + 2 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15015010 + ... + 15015326.

Almost surely, 2^4759808256 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 4759808256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8449896000).

4759808256 is an abundant number, since it is smaller than the sum of its proper divisors (12139983744).

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

4759808256 is a wasteful number, since it uses less digits than its factorization.

4759808256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 4759808256 is about 68991.3636334288. The cubic root of 4759808256 is about 1682.1439295303.

The spelling of 4759808256 in words is "four billion, seven hundred fifty-nine million, eight hundred eight thousand, two hundred fifty-six".