9994651968 has 448 divisors, whose sum is σ = 33596080128. Its totient is φ = 2556887040.

The previous prime is 9994651907. The next prime is 9994652027. The reversal of 9994651968 is 8691564999.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×9994651968² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 9994651899 and 9994651908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 72953596 + ... + 72953732.

Almost surely, 2^9994651968 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 9994651968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16798040064).

9994651968 is an abundant number, since it is smaller than the sum of its proper divisors (23601428160).

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

9994651968 is a wasteful number, since it uses less digits than its factorization.

9994651968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 300 counting only the distinct ones).

The product of its digits is 37791360, while the sum is 66.

The square root of 9994651968 is about 99973.2562638629. The cubic root of 9994651968 is about 2154.0505553561.

The spelling of 9994651968 in words is "nine billion, nine hundred ninety-four million, six hundred fifty-one thousand, nine hundred sixty-eight".