9966224000 has 64 divisors (see below), whose sum is σ = 24778564200. Its totient is φ = 3986483200.

The previous prime is 9966223997. The next prime is 9966224003. The reversal of 9966224000 is 4226699.

It is an interprime number because it is at equal distance from previous prime (9966223997) and next prime (9966224003).

It can be written as a sum of positive squares in 4 ways, for example, as 1850376256 + 8115847744 = 43016^2 + 90088^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9966224003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 295445 + ... + 327444.

Almost surely, 2^9966224000 is an apocalyptic number.

It is an amenable number.

9966224000 is an abundant number, since it is smaller than the sum of its proper divisors (14812340200).

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

9966224000 is an equidigital number, since it uses as much as digits as its factorization.

9966224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622918 (or 622896 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 38.

The square root of 9966224000 is about 99830.9771563917. The cubic root of 9966224000 is about 2152.0063477837.

The spelling of 9966224000 in words is "nine billion, nine hundred sixty-six million, two hundred twenty-four thousand".