6909474873744 has 135 divisors (see below), whose sum is σ = 19713434633347. Its totient is φ = 2259155728128.

The previous prime is 6909474873703. The next prime is 6909474873773. The reversal of 6909474873744 is 4473784749096.

The square root of 6909474873744 is 2628588.

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

6909474873744 is a `hidden beast` number, since 6 + 9 + 0 + 9 + 474 + 87 + 3 + 74 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1467519033744 + 5441955840000 = 1211412^2 + 2332800^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

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 26 ways as a sum of consecutive naturals, for example, 1671779902 + ... + 1671784034.

Almost surely, 2^{6909474873744} is an apocalyptic number.

6909474873744 is the 2628588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6909474873744

6909474873744 is an abundant number, since it is smaller than the sum of its proper divisors (12803959759603).

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

6909474873744 is an frugal number, since it uses more digits than its factorization.

6909474873744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8386 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 72.

The spelling of 6909474873744 in words is "six trillion, nine hundred nine billion, four hundred seventy-four million, eight hundred seventy-three thousand, seven hundred forty-four".