6981273684100 has 27 divisors (see below), whose sum is σ = 15149421230671. Its totient is φ = 2792498904800.

The previous prime is 6981273684013. The next prime is 6981273684101. The reversal of 6981273684100 is 14863721896.

The square root of 6981273684100 is 2642210.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2383645736836 + 4597627947264 = 1543906^2 + 2144208^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6981273684101) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26289990 + ... + 26554210.

Almost surely, 2^{6981273684100} is an apocalyptic number.

6981273684100 is the 2642210-th square number.

It is an amenable number.

6981273684100 is an abundant number, since it is smaller than the sum of its proper divisors (8168147546571).

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

6981273684100 is an frugal number, since it uses more digits than its factorization.

6981273684100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528456 (or 264228 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 55.

The spelling of 6981273684100 in words is "six trillion, nine hundred eighty-one billion, two hundred seventy-three million, six hundred eighty-four thousand, one hundred".