42746564761 has 2 divisors, whose sum is σ = 42746564762. Its totient is φ = 42746564760.

The previous prime is 42746564711. The next prime is 42746564797. The reversal of 42746564761 is 16746564724.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 36544057225 + 6202507536 = 191165^2 + 78756^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-42746564761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42746564699 and 42746564708.

It is not a weakly prime, because it can be changed into another prime (42746564701) 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 as a sum of consecutive naturals, namely, 21373282380 + 21373282381.

It is an arithmetic number, because the mean of its divisors is an integer number (21373282381).

Almost surely, 2^42746564761 is an apocalyptic number.

It is an amenable number.

42746564761 is a deficient number, since it is larger than the sum of its proper divisors (1).

42746564761 is an equidigital number, since it uses as much as digits as its factorization.

42746564761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6773760, while the sum is 52.

The spelling of 42746564761 in words is "forty-two billion, seven hundred forty-six million, five hundred sixty-four thousand, seven hundred sixty-one".