9669948103200 has 576 divisors, whose sum is σ = 39355759070208. Its totient is φ = 2003535974400.

The previous prime is 9669948103181. The next prime is 9669948103219. The reversal of 9669948103200 is 23018499669.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (9669948103181) and next prime (9669948103219).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64050202 + ... + 64200998.

It is an arithmetic number, because the mean of its divisors is an integer number (68325970608).

Almost surely, 2^{9669948103200} 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 9669948103200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19677879535104).

9669948103200 is an abundant number, since it is smaller than the sum of its proper divisors (29685810967008).

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

9669948103200 is a wasteful number, since it uses less digits than its factorization.

9669948103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151185 (or 151172 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 57.

The spelling of 9669948103200 in words is "nine trillion, six hundred sixty-nine billion, nine hundred forty-eight million, one hundred three thousand, two hundred".