42691782168 has 192 divisors, whose sum is σ = 140284872000. Its totient is φ = 11449737216.

The previous prime is 42691782137. The next prime is 42691782169. The reversal of 42691782168 is 86128719624.

It is a happy number.

42691782168 is a `hidden beast` number, since 426 + 91 + 78 + 2 + 1 + 68 = 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 (42691782169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3326548 + ... + 3339356.

It is an arithmetic number, because the mean of its divisors is an integer number (730650375).

Almost surely, 2^42691782168 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 42691782168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70142436000).

42691782168 is an abundant number, since it is smaller than the sum of its proper divisors (97593089832).

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

42691782168 is a wasteful number, since it uses less digits than its factorization.

42691782168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13234 (or 13227 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The spelling of 42691782168 in words is "forty-two billion, six hundred ninety-one million, seven hundred eighty-two thousand, one hundred sixty-eight".