6930432000 has 432 divisors, whose sum is σ = 25518048192. Its totient is φ = 1808793600.

The previous prime is 6930431993. The next prime is 6930432011. The reversal of 6930432000 is 2340396.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147455977 + ... + 147456023.

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

Almost surely, 2^6930432000 is an apocalyptic number.

6930432000 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 6930432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12759024096).

6930432000 is an abundant number, since it is smaller than the sum of its proper divisors (18587616192).

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

6930432000 is an frugal number, since it uses more digits than its factorization.

6930432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 6930432000 is about 83249.2162125266. The cubic root of 6930432000 is about 1906.5729872850.

Adding to 6930432000 its reverse (2340396), we get a palindrome (6932772396).

The spelling of 6930432000 in words is "six billion, nine hundred thirty million, four hundred thirty-two thousand".