9966934656000 has 1232 divisors, whose sum is σ = 42609567262080. Its totient is φ = 2278007193600.

The previous prime is 9966934655963. The next prime is 9966934656031. The reversal of 9966934656000 is 6564396699.

9966934656000 is a `hidden beast` number, since 9 + 9 + 6 + 69 + 3 + 4 + 6 + 560 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 653176371 + ... + 653191629.

Almost surely, 2^{9966934656000} is an apocalyptic number.

9966934656000 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 9966934656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21304783631040).

9966934656000 is an abundant number, since it is smaller than the sum of its proper divisors (32642632606080).

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

9966934656000 is an equidigital number, since it uses as much as digits as its factorization.

9966934656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15319 (or 15276 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 63.

The spelling of 9966934656000 in words is "nine trillion, nine hundred sixty-six billion, nine hundred thirty-four million, six hundred fifty-six thousand".