5641731663120 has 960 divisors, whose sum is σ = 22938609335040. Its totient is φ = 1270611836928.

The previous prime is 5641731663103. The next prime is 5641731663121. The reversal of 5641731663120 is 213661371465.

5641731663120 is a `hidden beast` number, since 5 + 6 + 4 + 1 + 7 + 3 + 1 + 6 + 631 + 2 + 0 = 666.

It is a super-2 number, since 2×5641731663120² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5641731663121) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4893088464 + ... + 4893089616.

It is an arithmetic number, because the mean of its divisors is an integer number (23894384724).

Almost surely, 2^{5641731663120} 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 5641731663120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11469304667520).

5641731663120 is an abundant number, since it is smaller than the sum of its proper divisors (17296877671920).

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

5641731663120 is a wasteful number, since it uses less digits than its factorization.

5641731663120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 5641731663120 in words is "five trillion, six hundred forty-one billion, seven hundred thirty-one million, six hundred sixty-three thousand, one hundred twenty".