9874617984000 has 6336 divisors, whose sum is σ = 50883842580480. Its totient is φ = 1881169920000.

The previous prime is 9874617983963. The next prime is 9874617984017. The reversal of 9874617984000 is 4897164789.

9874617984000 is a `hidden beast` number, since 9 + 8 + 7 + 4 + 617 + 9 + 8 + 4 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (6336).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 318536063985 + ... + 318536064015.

Almost surely, 2^{9874617984000} is an apocalyptic number.

9874617984000 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 9874617984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25441921290240).

9874617984000 is an abundant number, since it is smaller than the sum of its proper divisors (41009224596480).

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

9874617984000 is a wasteful number, since it uses less digits than its factorization.

9874617984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 9874617984000 in words is "nine trillion, eight hundred seventy-four billion, six hundred seventeen million, nine hundred eighty-four thousand".