5449575600 has 360 divisors, whose sum is σ = 22361470560. Its totient is φ = 1202503680.

The previous prime is 5449575569. The next prime is 5449575613. The reversal of 5449575600 is 65759445.

5449575600 is a `hidden beast` number, since 544 + 9 + 57 + 56 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 727072 + ... + 734528.

It is an arithmetic number, because the mean of its divisors is an integer number (62115196).

Almost surely, 2^5449575600 is an apocalyptic number.

5449575600 is a gapful number since it is divisible by the number (50) 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 5449575600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11180735280).

5449575600 is an abundant number, since it is smaller than the sum of its proper divisors (16911894960).

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

5449575600 is a wasteful number, since it uses less digits than its factorization.

5449575600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7517 (or 7503 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 5449575600 is about 73821.2408457078. The cubic root of 5449575600 is about 1759.7631826681.

The spelling of 5449575600 in words is "five billion, four hundred forty-nine million, five hundred seventy-five thousand, six hundred".