6541566643040 has 192 divisors, whose sum is σ = 18306337960512. Its totient is φ = 2195769692160.

The previous prime is 6541566643039. The next prime is 6541566643049. The reversal of 6541566643040 is 403466651456.

It is a super-2 number, since 2×6541566643040² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 6541566643040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6541566643049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1587044 + ... + 3949916.

It is an arithmetic number, because the mean of its divisors is an integer number (95345510211).

Almost surely, 2^{6541566643040} 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 6541566643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9153168980256).

6541566643040 is an abundant number, since it is smaller than the sum of its proper divisors (11764771317472).

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

6541566643040 is a wasteful number, since it uses less digits than its factorization.

6541566643040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2362934 (or 2362904 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 50.

The spelling of 6541566643040 in words is "six trillion, five hundred forty-one billion, five hundred sixty-six million, six hundred forty-three thousand, forty".