7638668367 has 32 divisors (see below), whose sum is σ = 11607515136. Its totient is φ = 4426130400.

The previous prime is 7638668357. The next prime is 7638668369.

7638668367 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7638668367 - 2⁴ = 7638668351 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7638668367.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7638668369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39928 + ... + 129890.

It is an arithmetic number, because the mean of its divisors is an integer number (362734848).

Almost surely, 2^7638668367 is an apocalyptic number.

7638668367 is a deficient number, since it is larger than the sum of its proper divisors (3968846769).

7638668367 is a wasteful number, since it uses less digits than its factorization.

7638668367 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90091.

The product of its digits is 36578304, while the sum is 60.

The square root of 7638668367 is about 87399.4757821808. The cubic root of 7638668367 is about 1969.4239657607.

The spelling of 7638668367 in words is "seven billion, six hundred thirty-eight million, six hundred sixty-eight thousand, three hundred sixty-seven".