6687659774601 has 225 divisors, whose sum is σ = 11685540115095. Its totient is φ = 3809563449120.

The previous prime is 6687659774479. The next prime is 6687659774603. The reversal of 6687659774601 is 1064779567866.

It is a happy number.

The square root of 6687659774601 is 2586051.

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

6687659774601 is a `hidden beast` number, since 6 + 6 + 8 + 7 + 6 + 5 + 9 + 7 + 7 + 4 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 989298783225 + 5698360991376 = 994635^2 + 2387124^2 .

It is not a de Polignac number, because 6687659774601 - 2¹¹ = 6687659772553 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 6687659774601.

It is not an unprimeable number, because it can be changed into a prime (6687659774603) by changing a digit.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 215730960456 + ... + 215730960486.

Almost surely, 2^{6687659774601} is an apocalyptic number.

6687659774601 is the 2586051-st square number.

6687659774601 is the 1293026-th centered octagonal number.

It is an amenable number.

6687659774601 is a deficient number, since it is larger than the sum of its proper divisors (4997880340494).

6687659774601 is an frugal number, since it uses more digits than its factorization.

6687659774601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 6687659774601 in words is "six trillion, six hundred eighty-seven billion, six hundred fifty-nine million, seven hundred seventy-four thousand, six hundred one".