9887971968 has 320 divisors, whose sum is σ = 34460838720. Its totient is φ = 2755399680.

The previous prime is 9887971913. The next prime is 9887972033. The reversal of 9887971968 is 8691797889.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 9887971896 and 9887971905.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2973955 + ... + 2977277.

It is an arithmetic number, because the mean of its divisors is an integer number (107690121).

Almost surely, 2^9887971968 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 9887971968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17230419360).

9887971968 is an abundant number, since it is smaller than the sum of its proper divisors (24572866752).

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

9887971968 is a wasteful number, since it uses less digits than its factorization.

9887971968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3397 (or 3376 counting only the distinct ones).

The product of its digits is 109734912, while the sum is 72.

The square root of 9887971968 is about 99438.2822055973. The cubic root of 9887971968 is about 2146.3592226309.

The spelling of 9887971968 in words is "nine billion, eight hundred eighty-seven million, nine hundred seventy-one thousand, nine hundred sixty-eight".