10406417767 has 2 divisors, whose sum is σ = 10406417768. Its totient is φ = 10406417766.

The previous prime is 10406417717. The next prime is 10406417779. The reversal of 10406417767 is 76771460401.

10406417767 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10406417767 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10406417717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5203208883 + 5203208884.

It is an arithmetic number, because the mean of its divisors is an integer number (5203208884).

Almost surely, 2^10406417767 is an apocalyptic number.

10406417767 is a deficient number, since it is larger than the sum of its proper divisors (1).

10406417767 is an equidigital number, since it uses as much as digits as its factorization.

10406417767 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 197568, while the sum is 43.

The spelling of 10406417767 in words is "ten billion, four hundred six million, four hundred seventeen thousand, seven hundred sixty-seven".