233968775040 has 3456 divisors, whose sum is σ = 1215939029760. Its totient is φ = 40874803200.

The previous prime is 233968774987. The next prime is 233968775041. The reversal of 233968775040 is 40577869332.

233968775040 is a `hidden beast` number, since 2 + 3 + 3 + 9 + 68 + 77 + 504 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233968775041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 7547379825 + ... + 7547379855.

It is an arithmetic number, because the mean of its divisors is an integer number (351834210).

Almost surely, 2^233968775040 is an apocalyptic number.

233968775040 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 233968775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607969514880).

233968775040 is an abundant number, since it is smaller than the sum of its proper divisors (981970254720).

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

233968775040 is a wasteful number, since it uses less digits than its factorization.

233968775040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 233968775040 in words is "two hundred thirty-three billion, nine hundred sixty-eight million, seven hundred seventy-five thousand, forty".