5573836800 has 648 divisors, whose sum is σ = 23664172896. Its totient is φ = 1274019840.

The previous prime is 5573836777. The next prime is 5573836811. The reversal of 5573836800 is 86383755.

It is a Jordan-Polya number, since it can be written as 10! ⋅ 4! ⋅ (2!)⁶.

5573836800 is a `hidden beast` number, since 557 + 38 + 3 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 796262397 + ... + 796262403.

Almost surely, 2^5573836800 is an apocalyptic number.

5573836800 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 5573836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11832086448).

5573836800 is an abundant number, since it is smaller than the sum of its proper divisors (18090336096).

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

5573836800 is an frugal number, since it uses more digits than its factorization.

5573836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 5573836800 is about 74658.1328456585. The cubic root of 5573836800 is about 1773.0381604299.

5573836800 divided by its product of nonzero digits (604800) gives a square (9216 = 96²).

The spelling of 5573836800 in words is "five billion, five hundred seventy-three million, eight hundred thirty-six thousand, eight hundred".