9868381437600 has 1008 divisors, whose sum is σ = 41417540482752. Its totient is φ = 2248132423680.

The previous prime is 9868381437587. The next prime is 9868381437601. The reversal of 9868381437600 is 67341838689.

9868381437600 is a `hidden beast` number, since 9 + 8 + 6 + 8 + 3 + 8 + 14 + 3 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9868381437601) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1277787339 + ... + 1277795061.

It is an arithmetic number, because the mean of its divisors is an integer number (41088829844).

Almost surely, 2^{9868381437600} is an apocalyptic number.

9868381437600 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 9868381437600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20708770241376).

9868381437600 is an abundant number, since it is smaller than the sum of its proper divisors (31549159045152).

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

9868381437600 is a wasteful number, since it uses less digits than its factorization.

9868381437600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8081 (or 8053 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 9868381437600 in words is "nine trillion, eight hundred sixty-eight billion, three hundred eighty-one million, four hundred thirty-seven thousand, six hundred".