233012389680 has 480 divisors, whose sum is σ = 908084736000. Its totient is φ = 52444274688.

The previous prime is 233012389679. The next prime is 233012389691. The reversal of 233012389680 is 86983210332.

233012389680 is a `hidden beast` number, since 2 + 330 + 1 + 238 + 9 + 6 + 80 = 666.

233012389680 is digitally balanced in base 3, 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 238497352 + ... + 238498328.

It is an arithmetic number, because the mean of its divisors is an integer number (1891843200).

Almost surely, 2^233012389680 is an apocalyptic number.

233012389680 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 233012389680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454042368000).

233012389680 is an abundant number, since it is smaller than the sum of its proper divisors (675072346320).

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

233012389680 is a wasteful number, since it uses less digits than its factorization.

233012389680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1681 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 233012389680 in words is "two hundred thirty-three billion, twelve million, three hundred eighty-nine thousand, six hundred eighty".