9328164822400 has 96 divisors (see below), whose sum is σ = 23068784083680. Its totient is φ = 3727168972800.

The previous prime is 9328164822397. The next prime is 9328164822437. The reversal of 9328164822400 is 42284618239.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1315282 + ... + 4515118.

It is an arithmetic number, because the mean of its divisors is an integer number (240299834205).

Almost surely, 2^{9328164822400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9328164822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11534392041840).

9328164822400 is an abundant number, since it is smaller than the sum of its proper divisors (13740619261280).

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

9328164822400 is a wasteful number, since it uses less digits than its factorization.

9328164822400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200772 (or 3200755 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The spelling of 9328164822400 in words is "nine trillion, three hundred twenty-eight billion, one hundred sixty-four million, eight hundred twenty-two thousand, four hundred".