42564483765 has 24 divisors (see below), whose sum is σ = 73784371128. Its totient is φ = 22699232640.

The previous prime is 42564483749. The next prime is 42564483769. The reversal of 42564483765 is 56738446524.

42564483765 is a `hidden beast` number, since 4 + 2 + 564 + 4 + 8 + 3 + 76 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10540307556 + 32024176209 = 102666^2 + 178953^2 .

It is not a de Polignac number, because 42564483765 - 2⁴ = 42564483749 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42564483769) 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 23 ways as a sum of consecutive naturals, for example, 674547 + ... + 734943.

It is an arithmetic number, because the mean of its divisors is an integer number (3074348797).

Almost surely, 2^42564483765 is an apocalyptic number.

42564483765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42564483765 is a deficient number, since it is larger than the sum of its proper divisors (31219887363).

42564483765 is a wasteful number, since it uses less digits than its factorization.

42564483765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76069 (or 76066 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 54.

The spelling of 42564483765 in words is "forty-two billion, five hundred sixty-four million, four hundred eighty-three thousand, seven hundred sixty-five".