9280830182400 has 3168 divisors, whose sum is σ = 42710114592000. Its totient is φ = 1986515435520.

The previous prime is 9280830182399. The next prime is 9280830182413. The reversal of 9280830182400 is 42810380829.

9280830182400 is a `hidden beast` number, since 92 + 8 + 0 + 83 + 0 + 1 + 82 + 400 = 666.

It is a super-2 number, since 2×9280830182400² (a number of 27 digits) contains 22 as substring.

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 46637337501 + ... + 46637337699.

Almost surely, 2^{9280830182400} is an apocalyptic number.

9280830182400 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 9280830182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21355057296000).

9280830182400 is an abundant number, since it is smaller than the sum of its proper divisors (33429284409600).

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

9280830182400 is a wasteful number, since it uses less digits than its factorization.

9280830182400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 9280830182400 in words is "nine trillion, two hundred eighty billion, eight hundred thirty million, one hundred eighty-two thousand, four hundred".