9968916873 has 8 divisors (see below), whose sum is σ = 13298866848. Its totient is φ = 6642455744.

The previous prime is 9968916821. The next prime is 9968916907. The reversal of 9968916873 is 3786198699.

9968916873 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 9968916873 - 2²⁵ = 9935362441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (9968916673) 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, 865536 + ... + 876977.

It is an arithmetic number, because the mean of its divisors is an integer number (1662358356).

Almost surely, 2^9968916873 is an apocalyptic number.

It is an amenable number.

9968916873 is a deficient number, since it is larger than the sum of its proper divisors (3329949975).

9968916873 is a wasteful number, since it uses less digits than its factorization.

9968916873 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744423.

The product of its digits is 35271936, while the sum is 66.

The square root of 9968916873 is about 99844.4634068409. The cubic root of 9968916873 is about 2152.2001543155.

It can be divided in two parts, 9968 and 916873, that added together give a triangular number (926841 = T₁₃₆₁).

The spelling of 9968916873 in words is "nine billion, nine hundred sixty-eight million, nine hundred sixteen thousand, eight hundred seventy-three".