8282607879168 has 528 divisors, whose sum is σ = 28967350500480. Its totient is φ = 2290070568960.

The previous prime is 8282607879157. The next prime is 8282607879181. The reversal of 8282607879168 is 8619787062828.

8282607879168 is a `hidden beast` number, since 8 + 2 + 8 + 2 + 607 + 8 + 7 + 9 + 1 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 8282607879096 and 8282607879105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185965830 + ... + 186010362.

Almost surely, 2^{8282607879168} 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 8282607879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14483675250240).

8282607879168 is an abundant number, since it is smaller than the sum of its proper divisors (20684742621312).

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

8282607879168 is a wasteful number, since it uses less digits than its factorization.

8282607879168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44631 (or 44576 counting only the distinct ones).

The product of its (nonzero) digits is 260112384, while the sum is 72.

The spelling of 8282607879168 in words is "eight trillion, two hundred eighty-two billion, six hundred seven million, eight hundred seventy-nine thousand, one hundred sixty-eight".