320233137768 has 320 divisors, whose sum is σ = 978793200000. Its totient is φ = 97431538176.

The previous prime is 320233137761. The next prime is 320233137773. The reversal of 320233137768 is 867731332023.

320233137768 is a `hidden beast` number, since 3 + 202 + 3 + 313 + 77 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (320233137761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 299562738 + ... + 299563806.

It is an arithmetic number, because the mean of its divisors is an integer number (3058728750).

Almost surely, 2^320233137768 is an apocalyptic number.

320233137768 is a gapful number since it is divisible by the number (38) 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 320233137768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (489396600000).

320233137768 is an abundant number, since it is smaller than the sum of its proper divisors (658560062232).

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

320233137768 is a wasteful number, since it uses less digits than its factorization.

320233137768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1961 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 45.

The spelling of 320233137768 in words is "three hundred twenty billion, two hundred thirty-three million, one hundred thirty-seven thousand, seven hundred sixty-eight".