6329742336 has 132 divisors (see below), whose sum is σ = 18321460612. Its totient is φ = 2104786944.

The previous prime is 6329742317. The next prime is 6329742337. The reversal of 6329742336 is 6332479236.

6329742336 is a `hidden beast` number, since 632 + 9 + 7 + 4 + 2 + 3 + 3 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3429273600 + 2900468736 = 58560^2 + 53856^2 .

It is a junction number, because it is equal to n+sod(n) for n = 6329742291 and 6329742300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6329742337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6754860 + ... + 6755796.

Almost surely, 2^6329742336 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 6329742336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9160730306).

6329742336 is an abundant number, since it is smaller than the sum of its proper divisors (11991718276).

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

6329742336 is a wasteful number, since it uses less digits than its factorization.

6329742336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696 (or 1675 counting only the distinct ones).

The product of its digits is 979776, while the sum is 45.

The square root of 6329742336 is about 79559.6778274020. The cubic root of 6329742336 is about 1849.8166203429.

The spelling of 6329742336 in words is "six billion, three hundred twenty-nine million, seven hundred forty-two thousand, three hundred thirty-six".