9163632672 has 144 divisors (see below), whose sum is σ = 28060512480. Its totient is φ = 2826049536.

The previous prime is 9163632649. The next prime is 9163632677. The reversal of 9163632672 is 2762363619.

9163632672 is a `hidden beast` number, since 9 + 1 + 6 + 3 + 632 + 6 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9163632677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 273003 + ... + 304725.

It is an arithmetic number, because the mean of its divisors is an integer number (194864670).

Almost surely, 2^9163632672 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 9163632672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14030256240).

9163632672 is an abundant number, since it is smaller than the sum of its proper divisors (18896879808).

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

9163632672 is a wasteful number, since it uses less digits than its factorization.

9163632672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31815 (or 31804 counting only the distinct ones).

The product of its digits is 489888, while the sum is 45.

The square root of 9163632672 is about 95726.8649439644. The cubic root of 9163632672 is about 2092.6144697423.

The spelling of 9163632672 in words is "nine billion, one hundred sixty-three million, six hundred thirty-two thousand, six hundred seventy-two".