233958896640 has 1320 divisors, whose sum is σ = 1011424910760. Its totient is φ = 51502252032.

The previous prime is 233958896623. The next prime is 233958896657. The reversal of 233958896640 is 46698859332.

233958896640 is a `hidden beast` number, since 2 + 3 + 3 + 9 + 588 + 9 + 6 + 6 + 40 = 666.

233958896640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (233958896623) and next prime (233958896657).

It can be written as a sum of positive squares in 4 ways, for example, as 39033114624 + 194925782016 = 197568^2 + 441504^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 589316922 + ... + 589317318.

It is an arithmetic number, because the mean of its divisors is an integer number (766230993).

Almost surely, 2^233958896640 is an apocalyptic number.

233958896640 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 233958896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505712455380).

233958896640 is an abundant number, since it is smaller than the sum of its proper divisors (777466014120).

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

233958896640 is a wasteful number, since it uses less digits than its factorization.

233958896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 233958896640 in words is "two hundred thirty-three billion, nine hundred fifty-eight million, eight hundred ninety-six thousand, six hundred forty".