8462112768 has 240 divisors, whose sum is σ = 26162136000. Its totient is φ = 2721890304.

The previous prime is 8462112733. The next prime is 8462112779. The reversal of 8462112768 is 8672112648.

8462112768 is a `hidden beast` number, since 8 + 4 + 621 + 12 + 7 + 6 + 8 = 666.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4809873 + ... + 4811631.

It is an arithmetic number, because the mean of its divisors is an integer number (109008900).

Almost surely, 2^8462112768 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 8462112768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13081068000).

8462112768 is an abundant number, since it is smaller than the sum of its proper divisors (17700023232).

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

8462112768 is a wasteful number, since it uses less digits than its factorization.

8462112768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822 (or 1793 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 8462112768 is about 91989.7427325460. The cubic root of 8462112768 is about 2037.7908264804.

The spelling of 8462112768 in words is "eight billion, four hundred sixty-two million, one hundred twelve thousand, seven hundred sixty-eight".