9648193968 has 120 divisors (see below), whose sum is σ = 30880800288. Its totient is φ = 2754671616.

The previous prime is 9648193967. The next prime is 9648193979. The reversal of 9648193968 is 8693918469.

It is a happy number.

9648193968 is a `hidden beast` number, since 9 + 6 + 481 + 93 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 (9648193967) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2010580 + ... + 2015372.

Almost surely, 2^9648193968 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 9648193968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15440400144).

9648193968 is an abundant number, since it is smaller than the sum of its proper divisors (21232606320).

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

9648193968 is a wasteful number, since it uses less digits than its factorization.

9648193968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6811 (or 6802 counting only the distinct ones).

The product of its digits is 20155392, while the sum is 63.

The square root of 9648193968 is about 98225.2206309561. The cubic root of 9648193968 is about 2128.8677126816.

The spelling of 9648193968 in words is "nine billion, six hundred forty-eight million, one hundred ninety-three thousand, nine hundred sixty-eight".