9364968000 has 168 divisors, whose sum is σ = 33500308920. Its totient is φ = 2497305600.

The previous prime is 9364967993. The next prime is 9364968001. The reversal of 9364968000 is 8694639.

It can be written as a sum of positive squares in 4 ways, for example, as 38044224 + 9326923776 = 6168^2 + 96576^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (9364968001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6966 + ... + 137034.

Almost surely, 2^9364968000 is an apocalyptic number.

9364968000 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 9364968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16750154460).

9364968000 is an abundant number, since it is smaller than the sum of its proper divisors (24135340920).

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

9364968000 is a wasteful number, since it uses less digits than its factorization.

9364968000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130102 (or 130079 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 9364968000 is about 96772.7647636462. The cubic root of 9364968000 is about 2107.8292777976.

The spelling of 9364968000 in words is "nine billion, three hundred sixty-four million, nine hundred sixty-eight thousand".