6546740125200 has 240 divisors, whose sum is σ = 22883158497216. Its totient is φ = 1586722406400.

The previous prime is 6546740125171. The next prime is 6546740125243. The reversal of 6546740125200 is 25210476456.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 59516652 + ... + 59626548.

Almost surely, 2^{6546740125200} is an apocalyptic number.

6546740125200 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 6546740125200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11441579248608).

6546740125200 is an abundant number, since it is smaller than the sum of its proper divisors (16336418372016).

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

6546740125200 is a wasteful number, since it uses less digits than its factorization.

6546740125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114442 (or 114431 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 6546740125200 in words is "six trillion, five hundred forty-six billion, seven hundred forty million, one hundred twenty-five thousand, two hundred".