9326664000 has 560 divisors, whose sum is σ = 35527274640. Its totient is φ = 2413670400.

The previous prime is 9326663993. The next prime is 9326664077. The reversal of 9326664000 is 4666239.

It can be written as a sum of positive squares in 8 ways, for example, as 2278725696 + 7047938304 = 47736^2 + 83952^2 .

It is a super-2 number, since 2×9326664000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23975806 + ... + 23976194.

Almost surely, 2^9326664000 is an apocalyptic number.

9326664000 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 9326664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17763637320).

9326664000 is an abundant number, since it is smaller than the sum of its proper divisors (26200610640).

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

9326664000 is a wasteful number, since it uses less digits than its factorization.

9326664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 9326664000 is about 96574.6550602175. The cubic root of 9326664000 is about 2104.9515808190.

The spelling of 9326664000 in words is "nine billion, three hundred twenty-six million, six hundred sixty-four thousand".