9370468800 has 1008 divisors, whose sum is σ = 43198401792. Its totient is φ = 1940889600.

The previous prime is 9370468769. The next prime is 9370468829. The reversal of 9370468800 is 88640739.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 29937444 + ... + 29937756.

Almost surely, 2^9370468800 is an apocalyptic number.

9370468800 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 9370468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21599200896).

9370468800 is an abundant number, since it is smaller than the sum of its proper divisors (33827932992).

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

9370468800 is a wasteful number, since it uses less digits than its factorization.

9370468800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9370468800 is about 96801.1818109676. The cubic root of 9370468800 is about 2108.2418963228.

The spelling of 9370468800 in words is "nine billion, three hundred seventy million, four hundred sixty-eight thousand, eight hundred".