9378945417600 has 2016 divisors, whose sum is σ = 38611169352000. Its totient is φ = 2248296652800.

The previous prime is 9378945417599. The next prime is 9378945417607. The reversal of 9378945417600 is 67145498739.

9378945417600 is a `hidden beast` number, since 9 + 3 + 7 + 8 + 9 + 4 + 5 + 4 + 17 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9378945417607) by changing a digit.

It is a polite number, since it can be written in 251 ways as a sum of consecutive naturals, for example, 42058051089 + ... + 42058051311.

It is an arithmetic number, because the mean of its divisors is an integer number (19152365750).

Almost surely, 2^{9378945417600} is an apocalyptic number.

9378945417600 is a gapful number since it is divisible by the number (90) 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 9378945417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305584676000).

9378945417600 is an abundant number, since it is smaller than the sum of its proper divisors (29232223934400).

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

9378945417600 is a wasteful number, since it uses less digits than its factorization.

9378945417600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 9378945417600 in words is "nine trillion, three hundred seventy-eight billion, nine hundred forty-five million, four hundred seventeen thousand, six hundred".