6894432000 has 432 divisors, whose sum is σ = 25518048192. Its totient is φ = 1786060800.

The previous prime is 6894431993. The next prime is 6894432001. The reversal of 6894432000 is 2344986.

It is a happy number.

6894432000 is a `hidden beast` number, since 6 + 8 + 9 + 443 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6894432001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10655677 + ... + 10656323.

It is an arithmetic number, because the mean of its divisors is an integer number (59069556).

Almost surely, 2^6894432000 is an apocalyptic number.

6894432000 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 6894432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12759024096).

6894432000 is an abundant number, since it is smaller than the sum of its proper divisors (18623616192).

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

6894432000 is a wasteful number, since it uses less digits than its factorization.

6894432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6894432000 is about 83032.7164435802. The cubic root of 6894432000 is about 1903.2660353956.

Adding to 6894432000 its reverse (2344986), we get a palindrome (6896776986).

The spelling of 6894432000 in words is "six billion, eight hundred ninety-four million, four hundred thirty-two thousand".