6468846384 has 640 divisors, whose sum is σ = 23934468096. Its totient is φ = 1451520000.

The previous prime is 6468846323. The next prime is 6468846407. The reversal of 6468846384 is 4836488646.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 64047934 + ... + 64048034.

Almost surely, 2^6468846384 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 6468846384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11967234048).

6468846384 is an abundant number, since it is smaller than the sum of its proper divisors (17465621712).

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

6468846384 is a wasteful number, since it uses less digits than its factorization.

6468846384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 57.

The square root of 6468846384 is about 80429.1388987847. The cubic root of 6468846384 is about 1863.2692325395.

The spelling of 6468846384 in words is "six billion, four hundred sixty-eight million, eight hundred forty-six thousand, three hundred eighty-four".