8058419460 has 864 divisors, whose sum is σ = 33671514240. Its totient is φ = 1598994432.

The previous prime is 8058419443. The next prime is 8058419461. The reversal of 8058419460 is 649148508.

8058419460 is a `hidden beast` number, since 8 + 0 + 584 + 1 + 9 + 4 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8058419461) 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 287 ways as a sum of consecutive naturals, for example, 58820512 + ... + 58820648.

It is an arithmetic number, because the mean of its divisors is an integer number (38971660).

Almost surely, 2^8058419460 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 8058419460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16835757120).

8058419460 is an abundant number, since it is smaller than the sum of its proper divisors (25613094780).

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

8058419460 is a wasteful number, since it uses less digits than its factorization.

8058419460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8058419460 is about 89768.6997789319. The cubic root of 8058419460 is about 2004.8564860597.

The spelling of 8058419460 in words is "eight billion, fifty-eight million, four hundred nineteen thousand, four hundred sixty".