9906424668000 has 3456 divisors, whose sum is σ = 45806644316160. Its totient is φ = 2011806720000.

The previous prime is 9906424667963. The next prime is 9906424668029. The reversal of 9906424668000 is 8664246099.

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, 54731627910 + ... + 54731628090.

It is an arithmetic number, because the mean of its divisors is an integer number (13254237360).

Almost surely, 2^{9906424668000} is an apocalyptic number.

9906424668000 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 9906424668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22903322158080).

9906424668000 is an abundant number, since it is smaller than the sum of its proper divisors (35900219648160).

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

9906424668000 is a wasteful number, since it uses less digits than its factorization.

9906424668000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 9906424668000 in words is "nine trillion, nine hundred six billion, four hundred twenty-four million, six hundred sixty-eight thousand".