66312334000 has 160 divisors (see below), whose sum is σ = 179188656192. Its totient is φ = 23525120000.

The previous prime is 66312333977. The next prime is 66312334009. The reversal of 66312334000 is 43321366.

66312334000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 66312334000.

It is not an unprimeable number, because it can be changed into a prime (66312334009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 865242 + ... + 938758.

Almost surely, 2^66312334000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66312334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89594328096).

66312334000 is an abundant number, since it is smaller than the sum of its proper divisors (112876322192).

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

66312334000 is a wasteful number, since it uses less digits than its factorization.

66312334000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73592 (or 73576 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 66312334000 its reverse (43321366), we get a palindrome (66355655366).

The spelling of 66312334000 in words is "sixty-six billion, three hundred twelve million, three hundred thirty-four thousand".