66734339616 has 672 divisors, whose sum is σ = 240224261760. Its totient is φ = 17817366528.

The previous prime is 66734339611. The next prime is 66734339653. The reversal of 66734339616 is 61693343766.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is not an unprimeable number, because it can be changed into a prime (66734339611) 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 111 ways as a sum of consecutive naturals, for example, 425059410 + ... + 425059566.

It is an arithmetic number, because the mean of its divisors is an integer number (357476580).

Almost surely, 2^66734339616 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 66734339616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120112130880).

66734339616 is an abundant number, since it is smaller than the sum of its proper divisors (173489922144).

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

66734339616 is a wasteful number, since it uses less digits than its factorization.

66734339616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 325 counting only the distinct ones).

The product of its digits is 8817984, while the sum is 54.

The spelling of 66734339616 in words is "sixty-six billion, seven hundred thirty-four million, three hundred thirty-nine thousand, six hundred sixteen".