9126456768 has 336 divisors, whose sum is σ = 30954268800. Its totient is φ = 2534492160.

The previous prime is 9126456743. The next prime is 9126456769. The reversal of 9126456768 is 8676546219.

9126456768 is a `hidden beast` number, since 9 + 12 + 6 + 4 + 567 + 68 = 666.

Its product of digits (4354560) is a multiple of the sum of its prime factors (840).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9126456769) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 14743563 + ... + 14744181.

It is an arithmetic number, because the mean of its divisors is an integer number (92125800).

Almost surely, 2^9126456768 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 9126456768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15477134400).

9126456768 is an abundant number, since it is smaller than the sum of its proper divisors (21827812032).

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

9126456768 is a wasteful number, since it uses less digits than its factorization.

9126456768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 827 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 9126456768 is about 95532.4906406192. The cubic root of 9126456768 is about 2089.7807946041.

The spelling of 9126456768 in words is "nine billion, one hundred twenty-six million, four hundred fifty-six thousand, seven hundred sixty-eight".