6546414856800 has 1440 divisors, whose sum is σ = 27644100664320. Its totient is φ = 1336191897600.

The previous prime is 6546414856757. The next prime is 6546414856819. The reversal of 6546414856800 is 86584146456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2322245791 + ... + 2322248609.

It is an arithmetic number, because the mean of its divisors is an integer number (19197292128).

Almost surely, 2^{6546414856800} is an apocalyptic number.

6546414856800 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 6546414856800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13822050332160).

6546414856800 is an abundant number, since it is smaller than the sum of its proper divisors (21097685807520).

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

6546414856800 is a wasteful number, since it uses less digits than its factorization.

6546414856800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2880 counting only the distinct ones).

The product of its (nonzero) digits is 22118400, while the sum is 57.

The spelling of 6546414856800 in words is "six trillion, five hundred forty-six billion, four hundred fourteen million, eight hundred fifty-six thousand, eight hundred".