233850032640 has 800 divisors, whose sum is σ = 988299316224. Its totient is φ = 51717242880.

The previous prime is 233850032621. The next prime is 233850032657. The reversal of 233850032640 is 46230058332.

It is a happy number.

233850032640 is a `hidden beast` number, since 2 + 3 + 3 + 8 + 5 + 0 + 0 + 3 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 233850032595 and 233850032604.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 44994522 + ... + 44999718.

Almost surely, 2^233850032640 is an apocalyptic number.

233850032640 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 233850032640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494149658112).

233850032640 is an abundant number, since it is smaller than the sum of its proper divisors (754449283584).

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

233850032640 is an equidigital number, since it uses as much as digits as its factorization.

233850032640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5270 (or 5245 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 233850032640 in words is "two hundred thirty-three billion, eight hundred fifty million, thirty-two thousand, six hundred forty".