8457834688 has 56 divisors (see below), whose sum is σ = 17524933200. Its totient is φ = 4044837888.

The previous prime is 8457834661. The next prime is 8457834701. The reversal of 8457834688 is 8864387548.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 177298 + ... + 219886.

Almost surely, 2^8457834688 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 8457834688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8762466600).

8457834688 is an abundant number, since it is smaller than the sum of its proper divisors (9067098512).

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

8457834688 is a wasteful number, since it uses less digits than its factorization.

8457834688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42737 (or 42727 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 61.

The square root of 8457834688 is about 91966.4867655604. The cubic root of 8457834688 is about 2037.4473621490.

The spelling of 8457834688 in words is "eight billion, four hundred fifty-seven million, eight hundred thirty-four thousand, six hundred eighty-eight".