9684775968 has 768 divisors, whose sum is σ = 35115171840. Its totient is φ = 2270822400.

The previous prime is 9684775963. The next prime is 9684775987. The reversal of 9684775968 is 8695774869.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is not an unprimeable number, because it can be changed into a prime (9684775963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 236214028 + ... + 236214068.

It is an arithmetic number, because the mean of its divisors is an integer number (45722880).

Almost surely, 2^9684775968 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 9684775968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17557585920).

9684775968 is an abundant number, since it is smaller than the sum of its proper divisors (25430395872).

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

9684775968 is a wasteful number, since it uses less digits than its factorization.

9684775968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 153 counting only the distinct ones).

The product of its digits is 182891520, while the sum is 69.

The square root of 9684775968 is about 98411.2593558278. The cubic root of 9684775968 is about 2131.5549174327.

The spelling of 9684775968 in words is "nine billion, six hundred eighty-four million, seven hundred seventy-five thousand, nine hundred sixty-eight".