6368346432 has 336 divisors, whose sum is σ = 22211629440. Its totient is φ = 1704001536.

The previous prime is 6368346431. The next prime is 6368346487. The reversal of 6368346432 is 2346438636.

6368346432 is a `hidden beast` number, since 636 + 8 + 3 + 4 + 6 + 4 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6368346431) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7430548 + ... + 7431404.

It is an arithmetic number, because the mean of its divisors is an integer number (66106040).

Almost surely, 2^6368346432 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 6368346432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11105814720).

6368346432 is an abundant number, since it is smaller than the sum of its proper divisors (15843283008).

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

6368346432 is a wasteful number, since it uses less digits than its factorization.

6368346432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 985 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 45.

The square root of 6368346432 is about 79801.9199769028. The cubic root of 6368346432 is about 1853.5695806126.

The spelling of 6368346432 in words is "six billion, three hundred sixty-eight million, three hundred forty-six thousand, four hundred thirty-two".