9373420800 has 324 divisors, whose sum is σ = 33679930284. Its totient is φ = 2487091200.

The previous prime is 9373420751. The next prime is 9373420811. The reversal of 9373420800 is 80243739.

9373420800 is a `hidden beast` number, since 93 + 73 + 420 + 80 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 719956224 + 8653464576 = 26832^2 + 93024^2 .

It is a super-2 number, since 2×9373420800² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20332570 + ... + 20333030.

Almost surely, 2^9373420800 is an apocalyptic number.

9373420800 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 9373420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16839965142).

9373420800 is an abundant number, since it is smaller than the sum of its proper divisors (24306509484).

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

9373420800 is a wasteful number, since it uses less digits than its factorization.

9373420800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 846 (or 824 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 9373420800 is about 96816.4283580013. The cubic root of 9373420800 is about 2108.4632611513.

The spelling of 9373420800 in words is "nine billion, three hundred seventy-three million, four hundred twenty thousand, eight hundred".