8218734068160 has 1792 divisors, whose sum is σ = 37541723443200. Its totient is φ = 1642423910400.

The previous prime is 8218734068143. The next prime is 8218734068161. The reversal of 8218734068160 is 618604378128.

8218734068160 is a `hidden beast` number, since 8 + 2 + 1 + 8 + 73 + 406 + 8 + 160 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 8218734068097 and 8218734068106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8218734068161) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6038745880 + ... + 6038747240.

Almost surely, 2^{8218734068160} is an apocalyptic number.

8218734068160 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 8218734068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18770861721600).

8218734068160 is an abundant number, since it is smaller than the sum of its proper divisors (29322989375040).

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

8218734068160 is a wasteful number, since it uses less digits than its factorization.

8218734068160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 8218734068160 in words is "eight trillion, two hundred eighteen billion, seven hundred thirty-four million, sixty-eight thousand, one hundred sixty".