67161369366 has 384 divisors, whose sum is σ = 197699174400. Its totient is φ = 15981546240.

The previous prime is 67161369361. The next prime is 67161369367. The reversal of 67161369366 is 66396316176.

67161369366 is a `hidden beast` number, since 67 + 161 + 3 + 69 + 366 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67161369361) 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 191 ways as a sum of consecutive naturals, for example, 64639875 + ... + 64640913.

It is an arithmetic number, because the mean of its divisors is an integer number (514841600).

Almost surely, 2^67161369366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67161369366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98849587200).

67161369366 is an abundant number, since it is smaller than the sum of its proper divisors (130537805034).

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

67161369366 is a wasteful number, since it uses less digits than its factorization.

67161369366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1181 counting only the distinct ones).

The product of its digits is 4408992, while the sum is 54.

The spelling of 67161369366 in words is "sixty-seven billion, one hundred sixty-one million, three hundred sixty-nine thousand, three hundred sixty-six".