9049773600 has 720 divisors, whose sum is σ = 38384793216. Its totient is φ = 2032128000.

The previous prime is 9049773583. The next prime is 9049773613. The reversal of 9049773600 is 63779409.

9049773600 is a `hidden beast` number, since 90 + 497 + 73 + 6 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×9049773600² (a number of 21 digits) contains 22 as substring.

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

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 119 ways as a sum of consecutive naturals, for example, 32205460 + ... + 32205740.

Almost surely, 2^9049773600 is an apocalyptic number.

9049773600 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 9049773600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19192396608).

9049773600 is an abundant number, since it is smaller than the sum of its proper divisors (29335019616).

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

9049773600 is a wasteful number, since it uses less digits than its factorization.

9049773600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 9049773600 is about 95130.2980127782. The cubic root of 9049773600 is about 2083.9113409895.

The spelling of 9049773600 in words is "nine billion, forty-nine million, seven hundred seventy-three thousand, six hundred".