6005728696 has 64 divisors (see below), whose sum is σ = 13018320000. Its totient is φ = 2568735360.

The previous prime is 6005728681. The next prime is 6005728717. The reversal of 6005728696 is 6968275006.

It is a happy number.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 237075 + ... + 261181.

It is an arithmetic number, because the mean of its divisors is an integer number (203411250).

Almost surely, 2^6005728696 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 6005728696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6509160000).

6005728696 is an abundant number, since it is smaller than the sum of its proper divisors (7012591304).

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

6005728696 is a wasteful number, since it uses less digits than its factorization.

6005728696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24292 (or 24288 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

The square root of 6005728696 is about 77496.6366754068. The cubic root of 6005728696 is about 1817.6987272887.

The spelling of 6005728696 in words is "six billion, five million, seven hundred twenty-eight thousand, six hundred ninety-six".