8457727968 has 192 divisors, whose sum is σ = 26144596800. Its totient is φ = 2655313920.

The previous prime is 8457727891. The next prime is 8457728053. The reversal of 8457727968 is 8697277548.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1023180 + ... + 1031412.

It is an arithmetic number, because the mean of its divisors is an integer number (136169775).

Almost surely, 2^8457727968 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 8457727968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13072298400).

8457727968 is an abundant number, since it is smaller than the sum of its proper divisors (17686868832).

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

8457727968 is a wasteful number, since it uses less digits than its factorization.

8457727968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8322 (or 8308 counting only the distinct ones).

The product of its digits is 47416320, while the sum is 63.

The square root of 8457727968 is about 91965.9065523741. The cubic root of 8457727968 is about 2037.4387926863.

The spelling of 8457727968 in words is "eight billion, four hundred fifty-seven million, seven hundred twenty-seven thousand, nine hundred sixty-eight".