7671649007105 has 8 divisors (see below), whose sum is σ = 9206041198464. Its totient is φ = 6137277612400.

The previous prime is 7671649007059. The next prime is 7671649007117. The reversal of 7671649007105 is 5017009461767.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 7671649007105 - 2²² = 7671644812801 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 4375751 + ... + 5872860.

It is an arithmetic number, because the mean of its divisors is an integer number (1150755149808).

Almost surely, 2^{7671649007105} is an apocalyptic number.

It is an amenable number.

7671649007105 is a deficient number, since it is larger than the sum of its proper divisors (1534392191359).

7671649007105 is a wasteful number, since it uses less digits than its factorization.

7671649007105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10398327.

The product of its (nonzero) digits is 2222640, while the sum is 53.

The spelling of 7671649007105 in words is "seven trillion, six hundred seventy-one billion, six hundred forty-nine million, seven thousand, one hundred five".