9671251968 has 288 divisors, whose sum is σ = 33320851200. Its totient is φ = 2642264064.

The previous prime is 9671251951. The next prime is 9671251999. The reversal of 9671251968 is 8691521769.

9671251968 is a `hidden beast` number, since 9 + 67 + 1 + 2 + 519 + 68 = 666.

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

It is a super-3 number, since 3×9671251968³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2965923 + ... + 2969181.

It is an arithmetic number, because the mean of its divisors is an integer number (115697400).

Almost surely, 2^9671251968 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 9671251968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16660425600).

9671251968 is an abundant number, since it is smaller than the sum of its proper divisors (23649599232).

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

9671251968 is a wasteful number, since it uses less digits than its factorization.

9671251968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3317 (or 3294 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 54.

The square root of 9671251968 is about 98342.5237016012. The cubic root of 9671251968 is about 2130.5622743583.

The spelling of 9671251968 in words is "nine billion, six hundred seventy-one million, two hundred fifty-one thousand, nine hundred sixty-eight".