5653566720 has 360 divisors, whose sum is σ = 20893931520. Its totient is φ = 1458155520.

The previous prime is 5653566719. The next prime is 5653566769. The reversal of 5653566720 is 276653565.

5653566720 is a `hidden beast` number, since 5 + 65 + 3 + 566 + 7 + 20 = 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 zygodrome in base 4.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 3213201 + ... + 3214959.

Almost surely, 2^5653566720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5653566720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10446965760).

5653566720 is an abundant number, since it is smaller than the sum of its proper divisors (15240364800).

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

5653566720 is a wasteful number, since it uses less digits than its factorization.

5653566720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1823 (or 1800 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The square root of 5653566720 is about 75190.2036172266. The cubic root of 5653566720 is about 1781.4522004256.

The spelling of 5653566720 in words is "five billion, six hundred fifty-three million, five hundred sixty-six thousand, seven hundred twenty".