9675888516 has 216 divisors, whose sum is σ = 29411992064. Its totient is φ = 2624348160.

The previous prime is 9675888511. The next prime is 9675888533. The reversal of 9675888516 is 6158885769.

9675888516 is a `hidden beast` number, since 9 + 67 + 58 + 8 + 8 + 516 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9675888511) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85627276 + ... + 85627388.

Almost surely, 2^9675888516 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 9675888516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14705996032).

9675888516 is an abundant number, since it is smaller than the sum of its proper divisors (19736103548).

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

9675888516 is a wasteful number, since it uses less digits than its factorization.

9675888516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 253 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 63.

The square root of 9675888516 is about 98366.0943414955. The cubic root of 9675888516 is about 2130.9026948153.

The spelling of 9675888516 in words is "nine billion, six hundred seventy-five million, eight hundred eighty-eight thousand, five hundred sixteen".