6936475770961 has 9 divisors (see below), whose sum is σ = 7624422567643. Its totient is φ = 6305860727320.

The previous prime is 6936475770953. The next prime is 6936475771009. The reversal of 6936475770961 is 1690775746396.

The square root of 6936475770961 is 2633719.

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., 393418727361 + 6543057043600 = 627231^2 + 2557940^2 .

It is not a de Polignac number, because 6936475770961 - 2³ = 6936475770953 is a prime.

It is a super-2 number, since 2×6936475770961² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6936475770941) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 28851195 + ... + 29090623.

Almost surely, 2^{6936475770961} is an apocalyptic number.

6936475770961 is the 2633719-th square number.

6936475770961 is the 1316860-th centered octagonal number.

It is an amenable number.

6936475770961 is a deficient number, since it is larger than the sum of its proper divisors (687946796682).

6936475770961 is an frugal number, since it uses more digits than its factorization.

6936475770961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478880 (or 239440 counting only the distinct ones).

The product of its (nonzero) digits is 360067680, while the sum is 70.

The spelling of 6936475770961 in words is "six trillion, nine hundred thirty-six billion, four hundred seventy-five million, seven hundred seventy thousand, nine hundred sixty-one".