9966219264000 has 3072 divisors, whose sum is σ = 42869830348800. Its totient is φ = 2293235712000.

The previous prime is 9966219263993. The next prime is 9966219264007. The reversal of 9966219264000 is 4629126699.

It is a happy number.

9966219264000 is a `hidden beast` number, since 9 + 9 + 6 + 621 + 9 + 2 + 6 + 4 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (9966219263993) and next prime (9966219264007).

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9966219264007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 321490943985 + ... + 321490944015.

It is an arithmetic number, because the mean of its divisors is an integer number (13955022900).

Almost surely, 2^{9966219264000} is an apocalyptic number.

9966219264000 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 9966219264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21434915174400).

9966219264000 is an abundant number, since it is smaller than the sum of its proper divisors (32903611084800).

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

9966219264000 is an equidigital number, since it uses as much as digits as its factorization.

9966219264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 9966219264000 in words is "nine trillion, nine hundred sixty-six billion, two hundred nineteen million, two hundred sixty-four thousand".