6894384000 has 768 divisors, whose sum is σ = 28137507840. Its totient is φ = 1462272000.

The previous prime is 6894383999. The next prime is 6894384019. The reversal of 6894384000 is 4834986.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97103965 + ... + 97104035.

It is an arithmetic number, because the mean of its divisors is an integer number (36637380).

Almost surely, 2^6894384000 is an apocalyptic number.

6894384000 is a gapful number since it is divisible by the number (60) 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 6894384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14068753920).

6894384000 is an abundant number, since it is smaller than the sum of its proper divisors (21243123840).

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

6894384000 is a wasteful number, since it uses less digits than its factorization.

6894384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 6894384000 is about 83032.4274003838. The cubic root of 6894384000 is about 1903.2616184505.

The spelling of 6894384000 in words is "six billion, eight hundred ninety-four million, three hundred eighty-four thousand".