9876638896416 has 384 divisors, whose sum is σ = 29875607838720. Its totient is φ = 3212567930880.

The previous prime is 9876638896403. The next prime is 9876638896417. The reversal of 9876638896416 is 6146988366789.

9876638896416 is a `hidden beast` number, since 9 + 87 + 6 + 6 + 38 + 8 + 96 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (9876638896417) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 542156940 + ... + 542175156.

It is an arithmetic number, because the mean of its divisors is an integer number (77801062080).

Almost surely, 2^{9876638896416} is an apocalyptic number.

9876638896416 is a gapful number since it is divisible by the number (96) 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 9876638896416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14937803919360).

9876638896416 is an abundant number, since it is smaller than the sum of its proper divisors (19998968942304).

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

9876638896416 is a wasteful number, since it uses less digits than its factorization.

9876638896416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18436 (or 18410 counting only the distinct ones).

The product of its digits is 4514807808, while the sum is 81.

The spelling of 9876638896416 in words is "nine trillion, eight hundred seventy-six billion, six hundred thirty-eight million, eight hundred ninety-six thousand, four hundred sixteen".