9876491913600 has 384 divisors, whose sum is σ = 38925622663200. Its totient is φ = 2431136194560.

The previous prime is 9876491913581. The next prime is 9876491913619. The reversal of 9876491913600 is 63191946789.

9876491913600 is a `hidden beast` number, since 9 + 8 + 7 + 6 + 4 + 9 + 1 + 9 + 13 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (9876491913581) and next prime (9876491913619).

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3273387 + ... + 5519786.

Almost surely, 2^{9876491913600} is an apocalyptic number.

9876491913600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9876491913600 is an abundant number, since it is smaller than the sum of its proper divisors (29049130749600).

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

9876491913600 is a wasteful number, since it uses less digits than its factorization.

9876491913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8793219 (or 8793196 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 9876491913600 in words is "nine trillion, eight hundred seventy-six billion, four hundred ninety-one million, nine hundred thirteen thousand, six hundred".