8416976160 has 288 divisors, whose sum is σ = 27890303616. Its totient is φ = 2133196800.

The previous prime is 8416976159. The next prime is 8416976173. The reversal of 8416976160 is 616796148.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 47 ways as a sum of consecutive naturals, for example, 32750752 + ... + 32751008.

It is an arithmetic number, because the mean of its divisors is an integer number (96841332).

Almost surely, 2^8416976160 is an apocalyptic number.

8416976160 is a gapful number since it is divisible by the number (80) 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 8416976160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13945151808).

8416976160 is an abundant number, since it is smaller than the sum of its proper divisors (19473327456).

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

8416976160 is a wasteful number, since it uses less digits than its factorization.

8416976160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 8416976160 is about 91744.0797000003. The cubic root of 8416976160 is about 2034.1611974859.

The spelling of 8416976160 in words is "eight billion, four hundred sixteen million, nine hundred seventy-six thousand, one hundred sixty".