8163840960 has 840 divisors, whose sum is σ = 33845510160. Its totient is φ = 1861263360.

The previous prime is 8163840931. The next prime is 8163840983. The reversal of 8163840960 is 690483618.

8163840960 is a `hidden beast` number, since 8 + 1 + 638 + 4 + 0 + 9 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 59590012 + ... + 59590148.

It is an arithmetic number, because the mean of its divisors is an integer number (40292274).

Almost surely, 2^8163840960 is an apocalyptic number.

8163840960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8163840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16922755080).

8163840960 is an abundant number, since it is smaller than the sum of its proper divisors (25681669200).

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

8163840960 is a wasteful number, since it uses less digits than its factorization.

8163840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 8163840960 is about 90353.9758948105. The cubic root of 8163840960 is about 2013.5612517245.

The spelling of 8163840960 in words is "eight billion, one hundred sixty-three million, eight hundred forty thousand, nine hundred sixty".