234027720432 has 720 divisors, whose sum is σ = 788188302720. Its totient is φ = 64523796480.

The previous prime is 234027720401. The next prime is 234027720457.

234027720432 is a `hidden beast` number, since 2 + 340 + 277 + 2 + 0 + 43 + 2 = 666.

234027720432 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1708231468 + ... + 1708231604.

It is an arithmetic number, because the mean of its divisors is an integer number (1094705976).

Almost surely, 2^234027720432 is an apocalyptic number.

234027720432 is a gapful number since it is divisible by the number (22) 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 234027720432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394094151360).

234027720432 is an abundant number, since it is smaller than the sum of its proper divisors (554160582288).

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

234027720432 is a wasteful number, since it uses less digits than its factorization.

234027720432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 36.

It can be divided in two parts, 234027 and 720432, that added together give a palindrome (954459).

The spelling of 234027720432 in words is "two hundred thirty-four billion, twenty-seven million, seven hundred twenty thousand, four hundred thirty-two".