6541795180800 has 864 divisors, whose sum is σ = 26203893260160. Its totient is φ = 1583765913600.

The previous prime is 6541795180799. The next prime is 6541795180831. The reversal of 6541795180800 is 80815971456.

It is a happy number.

6541795180800 is a `hidden beast` number, since 6 + 5 + 41 + 7 + 9 + 518 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

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, 1781047764 + ... + 1781051436.

Almost surely, 2^{6541795180800} is an apocalyptic number.

6541795180800 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6541795180800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13101946630080).

6541795180800 is an abundant number, since it is smaller than the sum of its proper divisors (19662098079360).

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

6541795180800 is a wasteful number, since it uses less digits than its factorization.

6541795180800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4656 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 6541795180800 in words is "six trillion, five hundred forty-one billion, seven hundred ninety-five million, one hundred eighty thousand, eight hundred".