6671705517200 has 120 divisors (see below), whose sum is σ = 16134949065768. Its totient is φ = 2651013181440.

The previous prime is 6671705517193. The next prime is 6671705517203. The reversal of 6671705517200 is 27155071766.

It can be written as a sum of positive squares in 12 ways, for example, as 278919184384 + 6392786332816 = 528128^2 + 2528396^2 .

It is not an unprimeable number, because it can be changed into a prime (6671705517203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 302245364 + ... + 302267436.

Almost surely, 2^{6671705517200} 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 6671705517200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8067474532884).

6671705517200 is an abundant number, since it is smaller than the sum of its proper divisors (9463243548568).

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

6671705517200 is a wasteful number, since it uses less digits than its factorization.

6671705517200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27061 (or 27050 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 47.

The spelling of 6671705517200 in words is "six trillion, six hundred seventy-one billion, seven hundred five million, five hundred seventeen thousand, two hundred".