42166762567 has 16 divisors (see below), whose sum is σ = 45386058240. Its totient is φ = 39049553088.

The previous prime is 42166762553. The next prime is 42166762579. The reversal of 42166762567 is 76526766124.

It is a cyclic number.

It is not a de Polignac number, because 42166762567 - 2¹⁵ = 42166729799 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42166762067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 709963 + ... + 767059.

It is an arithmetic number, because the mean of its divisors is an integer number (2836628640).

Almost surely, 2^42166762567 is an apocalyptic number.

42166762567 is a gapful number since it is divisible by the number (47) formed by its first and last digit.

42166762567 is a deficient number, since it is larger than the sum of its proper divisors (3219295673).

42166762567 is a wasteful number, since it uses less digits than its factorization.

42166762567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57990.

The product of its digits is 5080320, while the sum is 52.

The spelling of 42166762567 in words is "forty-two billion, one hundred sixty-six million, seven hundred sixty-two thousand, five hundred sixty-seven".