5668116480 has 768 divisors, whose sum is σ = 23115456000. Its totient is φ = 1305870336.

The previous prime is 5668116449. The next prime is 5668116491. The reversal of 5668116480 is 846118665.

5668116480 is a `hidden beast` number, since 56 + 6 + 8 + 116 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68290519 + ... + 68290601.

It is an arithmetic number, because the mean of its divisors is an integer number (30098250).

Almost surely, 2^5668116480 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 5668116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557728000).

5668116480 is an abundant number, since it is smaller than the sum of its proper divisors (17447339520).

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

5668116480 is a wasteful number, since it uses less digits than its factorization.

5668116480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 5668116480 is about 75286.8944770602. The cubic root of 5668116480 is about 1782.9791125347.

The spelling of 5668116480 in words is "five billion, six hundred sixty-eight million, one hundred sixteen thousand, four hundred eighty".