9667947991968 has 288 divisors, whose sum is σ = 32538513151872. Its totient is φ = 2665722009600.

The previous prime is 9667947991963. The next prime is 9667947991979. The reversal of 9667947991968 is 8691997497669.

9667947991968 is a `hidden beast` number, since 9 + 6 + 6 + 79 + 479 + 9 + 1 + 9 + 68 = 666.

9667947991968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9667947991963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5776063 + ... + 7259393.

It is an arithmetic number, because the mean of its divisors is an integer number (112980948444).

Almost surely, 2^{9667947991968} 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 9667947991968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16269256575936).

9667947991968 is an abundant number, since it is smaller than the sum of its proper divisors (22870565159904).

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

9667947991968 is a wasteful number, since it uses less digits than its factorization.

9667947991968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483468 (or 1483457 counting only the distinct ones).

The product of its digits is 19999187712, while the sum is 90.

The spelling of 9667947991968 in words is "nine trillion, six hundred sixty-seven billion, nine hundred forty-seven million, nine hundred ninety-one thousand, nine hundred sixty-eight".