6979725434889 has 81 divisors (see below), whose sum is σ = 10581419731701. Its totient is φ = 4433348079360.

The previous prime is 6979725434887. The next prime is 6979725434951. The reversal of 6979725434889 is 9884345279796.

The square root of 6979725434889 is 2641917.

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

6979725434889 is a `hidden beast` number, since 6 + 9 + 7 + 97 + 2 + 5 + 43 + 488 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 166623158025 + 6813102276864 = 408195^2 + 2610192^2 .

It is not a de Polignac number, because 6979725434889 - 2¹ = 6979725434887 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6979725434881) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 15272921949 + ... + 15272922405.

Almost surely, 2^{6979725434889} is an apocalyptic number.

6979725434889 is the 2641917-th square number.

6979725434889 is the 1320959-th centered octagonal number.

It is an amenable number.

6979725434889 is a deficient number, since it is larger than the sum of its proper divisors (3601694296812).

6979725434889 is an frugal number, since it uses more digits than its factorization.

6979725434889 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096 (or 548 counting only the distinct ones).

The product of its digits is 6584094720, while the sum is 81.

Multiplying 6979725434889 by its sum of digits (81), we get a square (565357760226009 = 23777253²).

The spelling of 6979725434889 in words is "six trillion, nine hundred seventy-nine billion, seven hundred twenty-five million, four hundred thirty-four thousand, eight hundred eighty-nine".