233831930640 has 640 divisors, whose sum is σ = 947651346432. Its totient is φ = 46248744960.

The previous prime is 233831930627. The next prime is 233831930653. The reversal of 233831930640 is 46039138332.

It is an interprime number because it is at equal distance from previous prime (233831930627) and next prime (233831930653).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 233831930592 and 233831930601.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 94782687 + ... + 94785153.

Almost surely, 2^233831930640 is an apocalyptic number.

233831930640 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 233831930640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473825673216).

233831930640 is an abundant number, since it is smaller than the sum of its proper divisors (713819415792).

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

233831930640 is a wasteful number, since it uses less digits than its factorization.

233831930640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 233831930640 in words is "two hundred thirty-three billion, eight hundred thirty-one million, nine hundred thirty thousand, six hundred forty".