233755795680 has 288 divisors, whose sum is σ = 816540655392. Its totient is φ = 56165007360.

The previous prime is 233755795667. The next prime is 233755795681. The reversal of 233755795680 is 86597557332.

It is a happy number.

233755795680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233755795681) 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 47 ways as a sum of consecutive naturals, for example, 6545232 + ... + 6580848.

It is an arithmetic number, because the mean of its divisors is an integer number (2835210609).

Almost surely, 2^233755795680 is an apocalyptic number.

233755795680 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 233755795680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408270327696).

233755795680 is an abundant number, since it is smaller than the sum of its proper divisors (582784859712).

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

233755795680 is a wasteful number, since it uses less digits than its factorization.

233755795680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35770 (or 35751 counting only the distinct ones).

The product of its (nonzero) digits is 47628000, while the sum is 60.

The spelling of 233755795680 in words is "two hundred thirty-three billion, seven hundred fifty-five million, seven hundred ninety-five thousand, six hundred eighty".