67584380347409 has 2 divisors, whose sum is σ = 67584380347410. Its totient is φ = 67584380347408.

The previous prime is 67584380347391. The next prime is 67584380347423. The reversal of 67584380347409 is 90474308348576.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64749332609809 + 2835047737600 = 8046697^2 + 1683760^2 .

It is a cyclic number.

It is not a de Polignac number, because 67584380347409 - 2²⁰ = 67584379298833 is a prime.

It is not a weakly prime, because it can be changed into another prime (67584380347439) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33792190173704 + 33792190173705.

It is an arithmetic number, because the mean of its divisors is an integer number (33792190173705).

Almost surely, 2^{67584380347409} is an apocalyptic number.

It is an amenable number.

67584380347409 is a deficient number, since it is larger than the sum of its proper divisors (1).

67584380347409 is an equidigital number, since it uses as much as digits as its factorization.

67584380347409 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 487710720, while the sum is 68.

The spelling of 67584380347409 in words is "sixty-seven trillion, five hundred eighty-four billion, three hundred eighty million, three hundred forty-seven thousand, four hundred nine".