5688763660800 has 960 divisors, whose sum is σ = 22954650808320. Its totient is φ = 1368446976000.

The previous prime is 5688763660799. The next prime is 5688763660873. The reversal of 5688763660800 is 80663678865.

5688763660800 is a `hidden beast` number, since 56 + 88 + 76 + 366 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 498003889 + ... + 498015311.

It is an arithmetic number, because the mean of its divisors is an integer number (23911094592).

Almost surely, 2^{5688763660800} is an apocalyptic number.

5688763660800 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 5688763660800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11477325404160).

5688763660800 is an abundant number, since it is smaller than the sum of its proper divisors (17265887147520).

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

5688763660800 is a wasteful number, since it uses less digits than its factorization.

5688763660800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11602 (or 11575 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 5688763660800 in words is "five trillion, six hundred eighty-eight billion, seven hundred sixty-three million, six hundred sixty thousand, eight hundred".