5729635968 has 128 divisors (see below), whose sum is σ = 17422611840. Its totient is φ = 1634304000.

The previous prime is 5729635963. The next prime is 5729635981. The reversal of 5729635968 is 8695369275.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5729635963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2044168 + ... + 2046968.

It is an arithmetic number, because the mean of its divisors is an integer number (136114155).

Almost surely, 2^5729635968 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 5729635968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8711305920).

5729635968 is an abundant number, since it is smaller than the sum of its proper divisors (11692975872).

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

5729635968 is a wasteful number, since it uses less digits than its factorization.

5729635968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3574 counting only the distinct ones).

The product of its digits is 24494400, while the sum is 60.

The square root of 5729635968 is about 75694.3588915317. The cubic root of 5729635968 is about 1789.4064975763.

The spelling of 5729635968 in words is "five billion, seven hundred twenty-nine million, six hundred thirty-five thousand, nine hundred sixty-eight".