7638266327967 has 12 divisors (see below), whose sum is σ = 12036056032104. Its totient is φ = 4629252319920.

The previous prime is 7638266327947. The next prime is 7638266327999. The reversal of 7638266327967 is 7697236628367.

7638266327967 is a `hidden beast` number, since 7 + 6 + 38 + 266 + 3 + 279 + 67 = 666.

It is not a de Polignac number, because 7638266327967 - 2³⁵ = 7603906589599 is a prime.

It is a super-2 number, since 2×7638266327967² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7638266327895 and 7638266327904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7638266327917) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38577102568 + ... + 38577102765.

It is an arithmetic number, because the mean of its divisors is an integer number (1003004669342).

Almost surely, 2^{7638266327967} is an apocalyptic number.

7638266327967 is a deficient number, since it is larger than the sum of its proper divisors (4397789704137).

7638266327967 is a wasteful number, since it uses less digits than its factorization.

7638266327967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77154205350 (or 77154205347 counting only the distinct ones).

The product of its digits is 1152216576, while the sum is 72.

The spelling of 7638266327967 in words is "seven trillion, six hundred thirty-eight billion, two hundred sixty-six million, three hundred twenty-seven thousand, nine hundred sixty-seven".