8296448160 has 768 divisors, whose sum is σ = 36285677568. Its totient is φ = 1537228800.

The previous prime is 8296448159. The next prime is 8296448189. The reversal of 8296448160 is 618446928.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14894602 + ... + 14895158.

It is an arithmetic number, because the mean of its divisors is an integer number (47246976).

Almost surely, 2^8296448160 is an apocalyptic number.

8296448160 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 8296448160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18142838784).

8296448160 is an abundant number, since it is smaller than the sum of its proper divisors (27989229408).

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

8296448160 is a wasteful number, since it uses less digits than its factorization.

8296448160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 8296448160 is about 91084.8404510871. The cubic root of 8296448160 is about 2024.4050000109.

The spelling of 8296448160 in words is "eight billion, two hundred ninety-six million, four hundred forty-eight thousand, one hundred sixty".