8464002016000 has 288 divisors, whose sum is σ = 21432061123200. Its totient is φ = 3330080768000.

The previous prime is 8464002015979. The next prime is 8464002016097. The reversal of 8464002016000 is 6102004648.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1020123852 + ... + 1020132148.

It is an arithmetic number, because the mean of its divisors is an integer number (74416878900).

Almost surely, 2^{8464002016000} is an apocalyptic number.

8464002016000 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 8464002016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10716030561600).

8464002016000 is an abundant number, since it is smaller than the sum of its proper divisors (12968059107200).

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

8464002016000 is an equidigital number, since it uses as much as digits as its factorization.

8464002016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8848 (or 8824 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 31.

The spelling of 8464002016000 in words is "eight trillion, four hundred sixty-four billion, two million, sixteen thousand".