9369028468800 has 5376 divisors, whose sum is σ = 49171252838400. Its totient is φ = 1672151040000.

The previous prime is 9369028468759. The next prime is 9369028468817. The reversal of 9369028468800 is 88648209639.

9369028468800 is a `hidden beast` number, since 9 + 3 + 6 + 90 + 2 + 8 + 468 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 38875636680 + ... + 38875636920.

It is an arithmetic number, because the mean of its divisors is an integer number (9146438400).

Almost surely, 2^{9369028468800} is an apocalyptic number.

9369028468800 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 9369028468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24585626419200).

9369028468800 is an abundant number, since it is smaller than the sum of its proper divisors (39802224369600).

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

9369028468800 is a wasteful number, since it uses less digits than its factorization.

9369028468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 35831808, while the sum is 63.

The spelling of 9369028468800 in words is "nine trillion, three hundred sixty-nine billion, twenty-eight million, four hundred sixty-eight thousand, eight hundred".