8768519424 has 324 divisors, whose sum is σ = 29739249540. Its totient is φ = 2477260800.

The previous prime is 8768519423. The next prime is 8768519449. The reversal of 8768519424 is 4249158678.

It is a happy number.

8768519424 is a `hidden beast` number, since 87 + 6 + 8 + 519 + 42 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6394881024 + 2373638400 = 79968^2 + 48720^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8768519423) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 11402112 + ... + 11402880.

Almost surely, 2^8768519424 is an apocalyptic number.

8768519424 is a gapful number since it is divisible by the number (84) 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 8768519424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14869624770).

8768519424 is an abundant number, since it is smaller than the sum of its proper divisors (20970730116).

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

8768519424 is a wasteful number, since it uses less digits than its factorization.

8768519424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 882 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 8768519424 is about 93640.3728313808. The cubic root of 8768519424 is about 2062.0954126950.

The spelling of 8768519424 in words is "eight billion, seven hundred sixty-eight million, five hundred nineteen thousand, four hundred twenty-four".