6918320272900 has 81 divisors (see below), whose sum is σ = 15200607451071. Its totient is φ = 2733124078080.

The previous prime is 6918320272879. The next prime is 6918320272931. The reversal of 6918320272900 is 92720238196.

The square root of 6918320272900 is 2630270.

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 311651994564 + 6606668278336 = 558258^2 + 2570344^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2183122516 + ... + 2183125684.

Almost surely, 2^{6918320272900} is an apocalyptic number.

6918320272900 is the 2630270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6918320272900

6918320272900 is an abundant number, since it is smaller than the sum of its proper divisors (8282287178171).

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

6918320272900 is an frugal number, since it uses more digits than its factorization.

6918320272900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6518 (or 3259 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 49.

Multiplying 6918320272900 by its sum of digits (49), we get a square (338997693372100 = 18411890²).

The spelling of 6918320272900 in words is "six trillion, nine hundred eighteen billion, three hundred twenty million, two hundred seventy-two thousand, nine hundred".