8456380416 has 168 divisors, whose sum is σ = 26651340144. Its totient is φ = 2562293760.

The previous prime is 8456380403. The next prime is 8456380417. The reversal of 8456380416 is 6140836548.

8456380416 is a `hidden beast` number, since 8 + 4 + 5 + 638 + 0 + 4 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (8456380417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 805795 + ... + 816221.

Almost surely, 2^8456380416 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 8456380416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13325670072).

8456380416 is an abundant number, since it is smaller than the sum of its proper divisors (18194959728).

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

8456380416 is a wasteful number, since it uses less digits than its factorization.

8456380416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10470 (or 10443 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 8456380416 is about 91958.5798933411. The cubic root of 8456380416 is about 2037.3305799938.

The spelling of 8456380416 in words is "eight billion, four hundred fifty-six million, three hundred eighty thousand, four hundred sixteen".