6546756252100 has 36 divisors (see below), whose sum is σ = 14206815994644. Its totient is φ = 2618637076480.

The previous prime is 6546756252079. The next prime is 6546756252103. The reversal of 6546756252100 is 12526576456.

It can be written as a sum of positive squares in 6 ways, for example, as 272252281284 + 6274503970816 = 521778^2 + 2504896^2 .

It is not an unprimeable number, because it can be changed into a prime (6546756252103) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3308424 + ... + 4902976.

It is an arithmetic number, because the mean of its divisors is an integer number (394633777629).

Almost surely, 2^{6546756252100} is an apocalyptic number.

It is an amenable number.

6546756252100 is an abundant number, since it is smaller than the sum of its proper divisors (7660059742544).

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

6546756252100 is a wasteful number, since it uses less digits than its factorization.

6546756252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1635624 (or 1635617 counting only the distinct ones).

The product of its (nonzero) digits is 3024000, while the sum is 49.

The spelling of 6546756252100 in words is "six trillion, five hundred forty-six billion, seven hundred fifty-six million, two hundred fifty-two thousand, one hundred".