6909837623649 has 45 divisors (see below), whose sum is σ = 10468055117289. Its totient is φ = 4542319296000.

The previous prime is 6909837623617. The next prime is 6909837623651. The reversal of 6909837623649 is 9463267389096.

The square root of 6909837623649 is 2628657.

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

6909837623649 is a `hidden beast` number, since 6 + 90 + 98 + 37 + 62 + 364 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1682066333025 + 5227771290624 = 1296945^2 + 2286432^2 .

It is not a de Polignac number, because 6909837623649 - 2⁵ = 6909837623617 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (6909837623609) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1727025649 + ... + 1727029649.

Almost surely, 2^{6909837623649} is an apocalyptic number.

6909837623649 is the 2628657-th square number.

6909837623649 is the 1314329-th centered octagonal number.

It is an amenable number.

6909837623649 is a deficient number, since it is larger than the sum of its proper divisors (3558217493640).

6909837623649 is an frugal number, since it uses more digits than its factorization.

6909837623649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8160 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 6909837623649 in words is "six trillion, nine hundred nine billion, eight hundred thirty-seven million, six hundred twenty-three thousand, six hundred forty-nine".