9867471264 has 144 divisors (see below), whose sum is σ = 32595413760. Its totient is φ = 2773025280.

The previous prime is 9867471233. The next prime is 9867471269. The reversal of 9867471264 is 4621747689.

9867471264 is a `hidden beast` number, since 98 + 67 + 471 + 26 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 9867471264.

It is not an unprimeable number, because it can be changed into a prime (9867471269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82857 + ... + 163095.

It is an arithmetic number, because the mean of its divisors is an integer number (226357040).

Almost surely, 2^9867471264 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 9867471264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16297706880).

9867471264 is an abundant number, since it is smaller than the sum of its proper divisors (22727942496).

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

9867471264 is a wasteful number, since it uses less digits than its factorization.

9867471264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80323 (or 80312 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 9867471264 is about 99335.1461669031. The cubic root of 9867471264 is about 2144.8748494964.

The spelling of 9867471264 in words is "nine billion, eight hundred sixty-seven million, four hundred seventy-one thousand, two hundred sixty-four".