8381664009600 has 768 divisors, whose sum is σ = 32664575047680. Its totient is φ = 1849310576640.

The previous prime is 8381664009583. The next prime is 8381664009713. The reversal of 8381664009600 is 69004661838.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 230545024 + ... + 230581376.

It is an arithmetic number, because the mean of its divisors is an integer number (42531998760).

Almost surely, 2^{8381664009600} is an apocalyptic number.

8381664009600 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 8381664009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16332287523840).

8381664009600 is an abundant number, since it is smaller than the sum of its proper divisors (24282911038080).

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

8381664009600 is a wasteful number, since it uses less digits than its factorization.

8381664009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36507 (or 36490 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 8381664009600 in words is "eight trillion, three hundred eighty-one billion, six hundred sixty-four million, nine thousand, six hundred".