6403368384 has 224 divisors, whose sum is σ = 21789542400. Its totient is φ = 1806105600.

The previous prime is 6403368373. The next prime is 6403368443. The reversal of 6403368384 is 4838633046.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×6403368384² = 82006253322421542912, which contains 22 as substring.

It is a congruent number.

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, 952234 + ... + 958934.

Almost surely, 2^6403368384 is an apocalyptic number.

6403368384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6403368384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10894771200).

6403368384 is an abundant number, since it is smaller than the sum of its proper divisors (15386174016).

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

6403368384 is a wasteful number, since it uses less digits than its factorization.

6403368384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6808 (or 6792 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The square root of 6403368384 is about 80021.0496307065. The cubic root of 6403368384 is about 1856.9611982674.

The spelling of 6403368384 in words is "six billion, four hundred three million, three hundred sixty-eight thousand, three hundred eighty-four".