8419428576 has 432 divisors, whose sum is σ = 28052362800. Its totient is φ = 2455225344.

The previous prime is 8419428503. The next prime is 8419428623. The reversal of 8419428576 is 6758249148.

It is a happy number.

8419428576 is a `hidden beast` number, since 8 + 41 + 9 + 4 + 28 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 71 ways as a sum of consecutive naturals, for example, 77242410 + ... + 77242518.

It is an arithmetic number, because the mean of its divisors is an integer number (64936025).

Almost surely, 2^8419428576 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 8419428576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14026181400).

8419428576 is an abundant number, since it is smaller than the sum of its proper divisors (19632934224).

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

8419428576 is a wasteful number, since it uses less digits than its factorization.

8419428576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 150 counting only the distinct ones).

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

The square root of 8419428576 is about 91757.4442538588. Note that the first 3 decimals coincide. The cubic root of 8419428576 is about 2034.3587397286.

The spelling of 8419428576 in words is "eight billion, four hundred nineteen million, four hundred twenty-eight thousand, five hundred seventy-six".