9876640638880 has 96 divisors (see below), whose sum is σ = 24567698131200. Its totient is φ = 3741804721152.

The previous prime is 9876640638863. The next prime is 9876640638889. The reversal of 9876640638880 is 888360466789.

It is not an unprimeable number, because it can be changed into a prime (9876640638889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12001914 + ... + 12798406.

It is an arithmetic number, because the mean of its divisors is an integer number (255913522200).

Almost surely, 2^{9876640638880} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9876640638880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12283849065600).

9876640638880 is an abundant number, since it is smaller than the sum of its proper divisors (14691057492320).

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

9876640638880 is a wasteful number, since it uses less digits than its factorization.

9876640638880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800606 (or 800598 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 73.

The spelling of 9876640638880 in words is "nine trillion, eight hundred seventy-six billion, six hundred forty million, six hundred thirty-eight thousand, eight hundred eighty".