9668134080 has 672 divisors, whose sum is σ = 38343352320. Its totient is φ = 2299207680.

The previous prime is 9668134079. The next prime is 9668134093. The reversal of 9668134080 is 804318669.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76126977 + ... + 76127103.

It is an arithmetic number, because the mean of its divisors is an integer number (57058560).

Almost surely, 2^9668134080 is an apocalyptic number.

9668134080 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9668134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19171676160).

9668134080 is an abundant number, since it is smaller than the sum of its proper divisors (28675218240).

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

9668134080 is a wasteful number, since it uses less digits than its factorization.

9668134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9668134080 is about 98326.6702375302. The cubic root of 9668134080 is about 2130.3332944028. Note that the first 3 decimals are identical.

The spelling of 9668134080 in words is "nine billion, six hundred sixty-eight million, one hundred thirty-four thousand, eighty".