9164404800 has 462 divisors, whose sum is σ = 34173766298. Its totient is φ = 2418647040.

The previous prime is 9164404789. The next prime is 9164404813. The reversal of 9164404800 is 84044619.

It is a happy number.

9164404800 is a `hidden beast` number, since 9 + 1 + 644 + 0 + 4 + 8 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 457275456 + 8707129344 = 21384^2 + 93312^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 65 ways as a sum of consecutive naturals, for example, 94478352 + ... + 94478448.

Almost surely, 2^9164404800 is an apocalyptic number.

9164404800 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 9164404800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17086883149).

9164404800 is an abundant number, since it is smaller than the sum of its proper divisors (25009361498).

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

9164404800 is an frugal number, since it uses more digits than its factorization.

9164404800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 9164404800 is about 95730.8978334581. The cubic root of 9164404800 is about 2092.6732426804.

The spelling of 9164404800 in words is "nine billion, one hundred sixty-four million, four hundred four thousand, eight hundred".