10767072467009 has 2 divisors, whose sum is σ = 10767072467010. Its totient is φ = 10767072467008.

The previous prime is 10767072466901. The next prime is 10767072467017. The reversal of 10767072467009 is 90076427076701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8833693455409 + 1933379011600 = 2972153^2 + 1390460^2 .

It is a cyclic number.

It is not a de Polignac number, because 10767072467009 - 2²⁸ = 10766804031553 is a prime.

It is not a weakly prime, because it can be changed into another prime (10767072467059) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5383536233504 + 5383536233505.

It is an arithmetic number, because the mean of its divisors is an integer number (5383536233505).

Almost surely, 2^{10767072467009} is an apocalyptic number.

It is an amenable number.

10767072467009 is a deficient number, since it is larger than the sum of its proper divisors (1).

10767072467009 is an equidigital number, since it uses as much as digits as its factorization.

10767072467009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6223392, while the sum is 56.

The spelling of 10767072467009 in words is "ten trillion, seven hundred sixty-seven billion, seventy-two million, four hundred sixty-seven thousand, nine".