4759829568 has 252 divisors, whose sum is σ = 15329019888. Its totient is φ = 1463754240.

The previous prime is 4759829567. The next prime is 4759829597. The reversal of 4759829568 is 8659289574.

4759829568 is a `hidden beast` number, since 47 + 5 + 9 + 8 + 29 + 568 = 666.

It is a super-5 number, since 5×4759829568⁵ (a number of 50 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (4759829567) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2627383 + ... + 2629193.

It is an arithmetic number, because the mean of its divisors is an integer number (60829444).

Almost surely, 2^4759829568 is an apocalyptic number.

4759829568 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4759829568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7664509944).

4759829568 is an abundant number, since it is smaller than the sum of its proper divisors (10569190320).

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

4759829568 is a wasteful number, since it uses less digits than its factorization.

4759829568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1829 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The square root of 4759829568 is about 68991.5180873707. The cubic root of 4759829568 is about 1682.1464401215.

The spelling of 4759829568 in words is "four billion, seven hundred fifty-nine million, eight hundred twenty-nine thousand, five hundred sixty-eight".