6384381824 has 128 divisors (see below), whose sum is σ = 14250297600. Its totient is φ = 2831376384.

The previous prime is 6384381823. The next prime is 6384381847. The reversal of 6384381824 is 4281834836.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6384381823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12692357 + ... + 12692859.

It is an arithmetic number, because the mean of its divisors is an integer number (111330450).

Almost surely, 2^6384381824 is an apocalyptic number.

6384381824 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 6384381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7125148800).

6384381824 is an abundant number, since it is smaller than the sum of its proper divisors (7865915776).

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

6384381824 is a wasteful number, since it uses less digits than its factorization.

6384381824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 848 counting only the distinct ones).

The product of its digits is 884736, while the sum is 47.

The square root of 6384381824 is about 79902.3267746315. The cubic root of 6384381824 is about 1855.1240292636.

The spelling of 6384381824 in words is "six billion, three hundred eighty-four million, three hundred eighty-one thousand, eight hundred twenty-four".