6676957808361 has 243 divisors, whose sum is σ = 11202741279639. Its totient is φ = 3978421178688.

The previous prime is 6676957808341. The next prime is 6676957808363. The reversal of 6676957808361 is 1638087596766.

The square root of 6676957808361 is 2583981.

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

It can be written as a sum of positive squares in only one way, i.e., 3790166517225 + 2886791291136 = 1946835^2 + 1699056^2 .

It is a tau number, because it is divible by the number of its divisors (243).

It is not a de Polignac number, because 6676957808361 - 2¹⁷ = 6676957677289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6676957808361.

It is not an unprimeable number, because it can be changed into a prime (6676957808363) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 91465175421 + ... + 91465175493.

Almost surely, 2^{6676957808361} is an apocalyptic number.

6676957808361 is the 2583981-st square number.

6676957808361 is the 1291991-st centered octagonal number.

It is an amenable number.

6676957808361 is a deficient number, since it is larger than the sum of its proper divisors (4525783471278).

6676957808361 is an frugal number, since it uses more digits than its factorization.

6676957808361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 6676957808361 in words is "six trillion, six hundred seventy-six billion, nine hundred fifty-seven million, eight hundred eight thousand, three hundred sixty-one".