9667865870208 has 896 divisors, whose sum is σ = 35801097830400. Its totient is φ = 2531114127360.

The previous prime is 9667865870207. The next prime is 9667865870233. The reversal of 9667865870208 is 8020785687669.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9667865870203) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1180299393 + ... + 1180307583.

It is an arithmetic number, because the mean of its divisors is an integer number (39956582400).

Almost surely, 2^{9667865870208} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9667865870208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17900548915200).

9667865870208 is an abundant number, since it is smaller than the sum of its proper divisors (26133231960192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9667865870208 is a wasteful number, since it uses less digits than its factorization.

9667865870208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8382 (or 8355 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 9667865870208 in words is "nine trillion, six hundred sixty-seven billion, eight hundred sixty-five million, eight hundred seventy thousand, two hundred eight".