8419604380920 has 768 divisors, whose sum is σ = 30598723584000. Its totient is φ = 1998743040000.

The previous prime is 8419604380919. The next prime is 8419604380927. The reversal of 8419604380920 is 290834069148.

8419604380920 is a `hidden beast` number, since 8 + 4 + 1 + 9 + 604 + 3 + 8 + 0 + 9 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8419604380927) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5891954766 + ... + 5891956194.

It is an arithmetic number, because the mean of its divisors is an integer number (39842088000).

Almost surely, 2^{8419604380920} 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 8419604380920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15299361792000).

8419604380920 is an abundant number, since it is smaller than the sum of its proper divisors (22179119203080).

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

8419604380920 is a wasteful number, since it uses less digits than its factorization.

8419604380920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 8419604380920 in words is "eight trillion, four hundred nineteen billion, six hundred four million, three hundred eighty thousand, nine hundred twenty".