66567734316 has 216 divisors, whose sum is σ = 182989654848. Its totient is φ = 20388672000.

The previous prime is 66567734293. The next prime is 66567734323. The reversal of 66567734316 is 61343776566.

It is a happy number.

66567734316 is a `hidden beast` number, since 6 + 6 + 567 + 73 + 4 + 3 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 144398326 + ... + 144398786.

It is an arithmetic number, because the mean of its divisors is an integer number (847174328).

Almost surely, 2^66567734316 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 66567734316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91494827424).

66567734316 is an abundant number, since it is smaller than the sum of its proper divisors (116421920532).

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

66567734316 is a wasteful number, since it uses less digits than its factorization.

66567734316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 797 counting only the distinct ones).

The product of its digits is 11430720, while the sum is 54.

The spelling of 66567734316 in words is "sixty-six billion, five hundred sixty-seven million, seven hundred thirty-four thousand, three hundred sixteen".