8454120768 has 112 divisors (see below), whose sum is σ = 24876069120. Its totient is φ = 2815488000.

The previous prime is 8454120761. The next prime is 8454120793. The reversal of 8454120768 is 8670214548.

8454120768 is a `hidden beast` number, since 8 + 454 + 120 + 76 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8454120761) 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 15 ways as a sum of consecutive naturals, for example, 3594793 + ... + 3597143.

It is an arithmetic number, because the mean of its divisors is an integer number (222107760).

Almost surely, 2^8454120768 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 8454120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12438034560).

8454120768 is an abundant number, since it is smaller than the sum of its proper divisors (16421948352).

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

8454120768 is a wasteful number, since it uses less digits than its factorization.

8454120768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4453 (or 4437 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 8454120768 is about 91946.2928453344. The cubic root of 8454120768 is about 2037.1490973004.

The spelling of 8454120768 in words is "eight billion, four hundred fifty-four million, one hundred twenty thousand, seven hundred sixty-eight".