5655724800 has 432 divisors, whose sum is σ = 20742839040. Its totient is φ = 1345536000.

The previous prime is 5655724757. The next prime is 5655724819. The reversal of 5655724800 is 84275565.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12882981 + ... + 12883419.

Almost surely, 2^5655724800 is an apocalyptic number.

5655724800 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 5655724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10371419520).

5655724800 is an abundant number, since it is smaller than the sum of its proper divisors (15087114240).

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

5655724800 is a wasteful number, since it uses less digits than its factorization.

5655724800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 42.

The square root of 5655724800 is about 75204.5530536549. The cubic root of 5655724800 is about 1781.6788436217.

The spelling of 5655724800 in words is "five billion, six hundred fifty-five million, seven hundred twenty-four thousand, eight hundred".