233672673840120 has 2048 divisors, whose sum is σ = 890614517760000. Its totient is φ = 54201828409344.

The previous prime is 233672673840079. The next prime is 233672673840143. The reversal of 233672673840120 is 21048376276332.

233672673840120 is a `hidden beast` number, since 2 + 3 + 367 + 267 + 3 + 8 + 4 + 0 + 12 + 0 = 666.

It is a super-2 number, since 2×233672673840120² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 532283994861 + ... + 532283995299.

It is an arithmetic number, because the mean of its divisors is an integer number (434870370000).

Almost surely, 2^{233672673840120} is an apocalyptic number.

233672673840120 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 233672673840120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445307258880000).

233672673840120 is an abundant number, since it is smaller than the sum of its proper divisors (656941843919880).

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

233672673840120 is a wasteful number, since it uses less digits than its factorization.

233672673840120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 233672673840120 in words is "two hundred thirty-three trillion, six hundred seventy-two billion, six hundred seventy-three million, eight hundred forty thousand, one hundred twenty".