6771496884100 has 243 divisors, whose sum is σ = 16383359224071. Its totient is φ = 2428174195200.

The previous prime is 6771496884043. The next prime is 6771496884143. The reversal of 6771496884100 is 14886941776.

The square root of 6771496884100 is 2602210.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 40 ways, for example, as 6552442931076 + 219053953024 = 2559774^2 + 468032^2 .

It is a Duffinian number.

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 80 ways as a sum of consecutive naturals, for example, 12516629830 + ... + 12516630370.

Almost surely, 2^{6771496884100} is an apocalyptic number.

6771496884100 is the 2602210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6771496884100

6771496884100 is an abundant number, since it is smaller than the sum of its proper divisors (9611862339971).

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

6771496884100 is a wasteful number, since it uses less digits than its factorization.

6771496884100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 61.

The spelling of 6771496884100 in words is "six trillion, seven hundred seventy-one billion, four hundred ninety-six million, eight hundred eighty-four thousand, one hundred".