8640811118160 has 480 divisors, whose sum is σ = 32756083476480. Its totient is φ = 2025357447168.

The previous prime is 8640811118111. The next prime is 8640811118221. The reversal of 8640811118160 is 618111180468.

8640811118160 is a `hidden beast` number, since 8 + 6 + 408 + 1 + 1 + 1 + 181 + 60 = 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 95 ways as a sum of consecutive naturals, for example, 47917446 + ... + 48097434.

It is an arithmetic number, because the mean of its divisors is an integer number (68241840576).

Almost surely, 2^{8640811118160} is an apocalyptic number.

8640811118160 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 8640811118160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16378041738240).

8640811118160 is an abundant number, since it is smaller than the sum of its proper divisors (24115272358320).

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

8640811118160 is a wasteful number, since it uses less digits than its factorization.

8640811118160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180267 (or 180258 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 45.

The spelling of 8640811118160 in words is "eight trillion, six hundred forty billion, eight hundred eleven million, one hundred eighteen thousand, one hundred sixty".