233406067752 has 640 divisors, whose sum is σ = 798822097920. Its totient is φ = 62705664000.

The previous prime is 233406067669. The next prime is 233406067753. The reversal of 233406067752 is 257760604332.

233406067752 is a `hidden beast` number, since 2 + 3 + 34 + 0 + 606 + 7 + 7 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 233406067698 and 233406067707.

It is not an unprimeable number, because it can be changed into a prime (233406067753) 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 159 ways as a sum of consecutive naturals, for example, 554408502 + ... + 554408922.

It is an arithmetic number, because the mean of its divisors is an integer number (1248159528).

Almost surely, 2^233406067752 is an apocalyptic number.

233406067752 is a gapful number since it is divisible by the number (22) 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 233406067752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399411048960).

233406067752 is an abundant number, since it is smaller than the sum of its proper divisors (565416030168).

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

233406067752 is a wasteful number, since it uses less digits than its factorization.

233406067752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 45.

The spelling of 233406067752 in words is "two hundred thirty-three billion, four hundred six million, sixty-seven thousand, seven hundred fifty-two".