66681140680 has 512 divisors, whose sum is σ = 210934886400. Its totient is φ = 18314035200.

The previous prime is 66681140677. The next prime is 66681140683. The reversal of 66681140680 is 8604118666.

It is an interprime number because it is at equal distance from previous prime (66681140677) and next prime (66681140683).

It is a self number, because there is not a number n which added to its sum of digits gives 66681140680.

It is not an unprimeable number, because it can be changed into a prime (66681140683) 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 127 ways as a sum of consecutive naturals, for example, 96499135 + ... + 96499825.

It is an arithmetic number, because the mean of its divisors is an integer number (411982200).

Almost surely, 2^66681140680 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 66681140680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105467443200).

66681140680 is an abundant number, since it is smaller than the sum of its proper divisors (144253745720).

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

66681140680 is a wasteful number, since it uses less digits than its factorization.

66681140680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 46.

The spelling of 66681140680 in words is "sixty-six billion, six hundred eighty-one million, one hundred forty thousand, six hundred eighty".