6405339168 has 192 divisors, whose sum is σ = 19483390080. Its totient is φ = 2045481984.

The previous prime is 6405339151. The next prime is 6405339191. The reversal of 6405339168 is 8619335046.

It is a super-3 number, since 3×6405339168³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1967430 + ... + 1970682.

It is an arithmetic number, because the mean of its divisors is an integer number (101475990).

Almost surely, 2^6405339168 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 6405339168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9741695040).

6405339168 is an abundant number, since it is smaller than the sum of its proper divisors (13078050912).

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

6405339168 is a wasteful number, since it uses less digits than its factorization.

6405339168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3354 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 6405339168 is about 80033.3628432543. The cubic root of 6405339168 is about 1857.1516862426.

The spelling of 6405339168 in words is "six billion, four hundred five million, three hundred thirty-nine thousand, one hundred sixty-eight".