8416812096 has 672 divisors, whose sum is σ = 32378830848. Its totient is φ = 2025492480.

The previous prime is 8416812091. The next prime is 8416812101. The reversal of 8416812096 is 6902186148.

It is an interprime number because it is at equal distance from previous prime (8416812091) and next prime (8416812101).

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (8416812091) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 37743441 + ... + 37743663.

It is an arithmetic number, because the mean of its divisors is an integer number (48182784).

Almost surely, 2^8416812096 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 8416812096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16189415424).

8416812096 is an abundant number, since it is smaller than the sum of its proper divisors (23962018752).

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

8416812096 is a wasteful number, since it uses less digits than its factorization.

8416812096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 8416812096 is about 91743.1855562036. The cubic root of 8416812096 is about 2034.1479807524.

The spelling of 8416812096 in words is "eight billion, four hundred sixteen million, eight hundred twelve thousand, ninety-six".