5641664296320 has 768 divisors, whose sum is σ = 21584561806080. Its totient is φ = 1349133926400.

The previous prime is 5641664296259. The next prime is 5641664296357. The reversal of 5641664296320 is 236924661465.

5641664296320 is a `hidden beast` number, since 56 + 4 + 166 + 429 + 6 + 3 + 2 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 482146470 + ... + 482158170.

It is an arithmetic number, because the mean of its divisors is an integer number (28104898185).

Almost surely, 2^{5641664296320} 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 5641664296320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10792280903040).

5641664296320 is an abundant number, since it is smaller than the sum of its proper divisors (15942897509760).

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

5641664296320 is a wasteful number, since it uses less digits than its factorization.

5641664296320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11923 (or 11908 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 5641664296320 in words is "five trillion, six hundred forty-one billion, six hundred sixty-four million, two hundred ninety-six thousand, three hundred twenty".