9946957428800 has 504 divisors, whose sum is σ = 30043697392800. Its totient is φ = 3222978232320.

The previous prime is 9946957428713. The next prime is 9946957428817. The reversal of 9946957428800 is 88247596499.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 624134432 + ... + 624150368.

It is an arithmetic number, because the mean of its divisors is an integer number (59610510700).

Almost surely, 2^{9946957428800} 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 9946957428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15021848696400).

9946957428800 is an abundant number, since it is smaller than the sum of its proper divisors (20096739964000).

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

9946957428800 is a wasteful number, since it uses less digits than its factorization.

9946957428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16411 (or 16389 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 71.

The spelling of 9946957428800 in words is "nine trillion, nine hundred forty-six billion, nine hundred fifty-seven million, four hundred twenty-eight thousand, eight hundred".