67000003400657 has 2 divisors, whose sum is σ = 67000003400658. Its totient is φ = 67000003400656.

The previous prime is 67000003400653. The next prime is 67000003400663. The reversal of 67000003400657 is 75600430000076.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 41894602540816 + 25105400859841 = 6472604^2 + 5010529^2 .

It is a cyclic number.

It is not a de Polignac number, because 67000003400657 - 2² = 67000003400653 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 67000003400657.

It is not a weakly prime, because it can be changed into another prime (67000003400653) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33500001700328 + 33500001700329.

It is an arithmetic number, because the mean of its divisors is an integer number (33500001700329).

Almost surely, 2^{67000003400657} is an apocalyptic number.

It is an amenable number.

67000003400657 is a deficient number, since it is larger than the sum of its proper divisors (1).

67000003400657 is an equidigital number, since it uses as much as digits as its factorization.

67000003400657 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 105840, while the sum is 38.

The spelling of 67000003400657 in words is "sixty-seven trillion, three million, four hundred thousand, six hundred fifty-seven".