9679921868800 has 312 divisors, whose sum is σ = 24209400985776. Its totient is φ = 3838857707520.

The previous prime is 9679921868797. The next prime is 9679921868857. The reversal of 9679921868800 is 88681299769.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10221669927 + ... + 10221670873.

Almost surely, 2^{9679921868800} 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 9679921868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12104700492888).

9679921868800 is an abundant number, since it is smaller than the sum of its proper divisors (14529479116976).

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

9679921868800 is a wasteful number, since it uses less digits than its factorization.

9679921868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1731 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 188116992, while the sum is 73.

The spelling of 9679921868800 in words is "nine trillion, six hundred seventy-nine billion, nine hundred twenty-one million, eight hundred sixty-eight thousand, eight hundred".