234720768000 has 832 divisors, whose sum is σ = 844572044160. Its totient is φ = 57671680000.

The previous prime is 234720767993. The next prime is 234720768001. The reversal of 234720768000 is 867027432.

It is a self number, because there is not a number n which added to its sum of digits gives 234720768000.

It is not an unprimeable number, because it can be changed into a prime (234720768001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2323967950 + ... + 2323968050.

It is an arithmetic number, because the mean of its divisors is an integer number (1015110630).

Almost surely, 2^234720768000 is an apocalyptic number.

234720768000 is a gapful number since it is divisible by the number (20) 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 234720768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422286022080).

234720768000 is an abundant number, since it is smaller than the sum of its proper divisors (609851276160).

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

234720768000 is a wasteful number, since it uses less digits than its factorization.

234720768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 234720768000 in words is "two hundred thirty-four billion, seven hundred twenty million, seven hundred sixty-eight thousand".