8249568768 has 400 divisors, whose sum is σ = 28476031584. Its totient is φ = 2329067520.

The previous prime is 8249568737. The next prime is 8249568779. The reversal of 8249568768 is 8678659428.

8249568768 is a `hidden beast` number, since 8 + 2 + 4 + 9 + 568 + 7 + 68 = 666.

It is a super-2 number, since 2×8249568768² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45577638 + ... + 45577818.

Almost surely, 2^8249568768 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 8249568768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14238015792).

8249568768 is an abundant number, since it is smaller than the sum of its proper divisors (20226462816).

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

8249568768 is a wasteful number, since it uses less digits than its factorization.

8249568768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 350 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The square root of 8249568768 is about 90827.1367378715. The cubic root of 8249568768 is about 2020.5848033943.

The spelling of 8249568768 in words is "eight billion, two hundred forty-nine million, five hundred sixty-eight thousand, seven hundred sixty-eight".