66674829312 has 576 divisors, whose sum is σ = 239637565440. Its totient is φ = 17390370816.

The previous prime is 66674829293. The next prime is 66674829323. The reversal of 66674829312 is 21392847666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 213018468 + ... + 213018780.

It is an arithmetic number, because the mean of its divisors is an integer number (416037440).

Almost surely, 2^66674829312 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 66674829312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119818782720).

66674829312 is an abundant number, since it is smaller than the sum of its proper divisors (172962736128).

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

66674829312 is a wasteful number, since it uses less digits than its factorization.

66674829312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 465 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 66674829312 in words is "sixty-six billion, six hundred seventy-four million, eight hundred twenty-nine thousand, three hundred twelve".