6409790729067 has 32 divisors (see below), whose sum is σ = 9815805054720. Its totient is φ = 3679598344320.

The previous prime is 6409790729009. The next prime is 6409790729077. The reversal of 6409790729067 is 7609270979046.

It is not a de Polignac number, because 6409790729067 - 2¹⁸ = 6409790466923 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6409790728989 and 6409790729007.

It is not an unprimeable number, because it can be changed into a prime (6409790729077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2564413 + ... + 4404065.

It is an arithmetic number, because the mean of its divisors is an integer number (306743907960).

Almost surely, 2^{6409790729067} is an apocalyptic number.

6409790729067 is a deficient number, since it is larger than the sum of its proper divisors (3406014325653).

6409790729067 is a wasteful number, since it uses less digits than its factorization.

6409790729067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845243.

The product of its (nonzero) digits is 72013536, while the sum is 66.

The spelling of 6409790729067 in words is "six trillion, four hundred nine billion, seven hundred ninety million, seven hundred twenty-nine thousand, sixty-seven".