5664846620160 has 640 divisors, whose sum is σ = 24765574901760. Its totient is φ = 1195219058688.

The previous prime is 5664846620101. The next prime is 5664846620161. The reversal of 5664846620160 is 610266484665.

5664846620160 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 8 + 4 + 6 + 620 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5664846620097 and 5664846620106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5664846620161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5839609 + ... + 6740231.

It is an arithmetic number, because the mean of its divisors is an integer number (38696210784).

Almost surely, 2^{5664846620160} 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 5664846620160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12382787450880).

5664846620160 is an abundant number, since it is smaller than the sum of its proper divisors (19100728281600).

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

5664846620160 is a wasteful number, since it uses less digits than its factorization.

5664846620160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900675 (or 900653 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 5664846620160 in words is "five trillion, six hundred sixty-four billion, eight hundred forty-six million, six hundred twenty thousand, one hundred sixty".