233880460680 has 128 divisors (see below), whose sum is σ = 719032204800. Its totient is φ = 60823449600.

The previous prime is 233880460643. The next prime is 233880460687. The reversal of 233880460680 is 86064088332.

It is a happy number.

233880460680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (233880460687) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 15337860 + ... + 15353100.

It is an arithmetic number, because the mean of its divisors is an integer number (5617439100).

Almost surely, 2^233880460680 is an apocalyptic number.

233880460680 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 233880460680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359516102400).

233880460680 is an abundant number, since it is smaller than the sum of its proper divisors (485151744120).

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

233880460680 is a wasteful number, since it uses less digits than its factorization.

233880460680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18415 (or 18411 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 233880460680 in words is "two hundred thirty-three billion, eight hundred eighty million, four hundred sixty thousand, six hundred eighty".