42766180065 has 96 divisors (see below), whose sum is σ = 89762578560. Its totient is φ = 19258259328.

The previous prime is 42766180057. The next prime is 42766180073. The reversal of 42766180065 is 56008166724.

42766180065 is a `hidden beast` number, since 4 + 27 + 6 + 618 + 0 + 0 + 6 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (42766180057) and next prime (42766180073).

It is not a de Polignac number, because 42766180065 - 2³ = 42766180057 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42766180065.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 394959 + ... + 491451.

It is an arithmetic number, because the mean of its divisors is an integer number (935026860).

Almost surely, 2^42766180065 is an apocalyptic number.

42766180065 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42766180065 is an abundant number, since it is smaller than the sum of its proper divisors (46996398495).

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

42766180065 is a wasteful number, since it uses less digits than its factorization.

42766180065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96588 (or 96575 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 42766180065 in words is "forty-two billion, seven hundred sixty-six million, one hundred eighty thousand, sixty-five".