8992816000 has 256 divisors, whose sum is σ = 26671057920. Its totient is φ = 2948352000.

The previous prime is 8992815989. The next prime is 8992816003. The reversal of 8992816000 is 6182998.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8992816003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2574255 + ... + 2577745.

It is an arithmetic number, because the mean of its divisors is an integer number (104183820).

Almost surely, 2^8992816000 is an apocalyptic number.

8992816000 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 8992816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335528960).

8992816000 is an abundant number, since it is smaller than the sum of its proper divisors (17678241920).

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

8992816000 is a wasteful number, since it uses less digits than its factorization.

8992816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3550 (or 3528 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 43.

The square root of 8992816000 is about 94830.4592417436. The cubic root of 8992816000 is about 2079.5302193490.

Adding to 8992816000 its reverse (6182998), we get a palindrome (8998998998).

The spelling of 8992816000 in words is "eight billion, nine hundred ninety-two million, eight hundred sixteen thousand".