9968120017 has 8 divisors (see below), whose sum is σ = 10555372872. Its totient is φ = 9380966400.

The previous prime is 9968119999. The next prime is 9968120027. The reversal of 9968120017 is 7100218699.

It can be written as a sum of positive squares in 4 ways, for example, as 2804867521 + 7163252496 = 52961^2 + 84636^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 9968120017 - 2²³ = 9959731409 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (9968120027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 315417 + ... + 345577.

It is an arithmetic number, because the mean of its divisors is an integer number (1319421609).

Almost surely, 2^9968120017 is an apocalyptic number.

It is an amenable number.

9968120017 is a deficient number, since it is larger than the sum of its proper divisors (587252855).

9968120017 is a wasteful number, since it uses less digits than its factorization.

9968120017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49619.

The product of its (nonzero) digits is 54432, while the sum is 43.

The square root of 9968120017 is about 99840.4728404268. The cubic root of 9968120017 is about 2152.1428080887.

The spelling of 9968120017 in words is "nine billion, nine hundred sixty-eight million, one hundred twenty thousand, seventeen".