7638165216 has 120 divisors (see below), whose sum is σ = 24505871544. Its totient is φ = 2314586880.

The previous prime is 7638165179. The next prime is 7638165217. The reversal of 7638165216 is 6125618367.

7638165216 is a `hidden beast` number, since 7 + 638 + 1 + 6 + 5 + 2 + 1 + 6 = 666.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7638165217) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 105435 + ... + 162458.

Almost surely, 2^7638165216 is an apocalyptic number.

It is an amenable number.

7638165216 is an abundant number, since it is smaller than the sum of its proper divisors (16867706328).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7638165216 is a wasteful number, since it uses less digits than its factorization.

7638165216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267926 (or 267909 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 7638165216 is about 87396.5972792992. The cubic root of 7638165216 is about 1969.3807235205.

The spelling of 7638165216 in words is "seven billion, six hundred thirty-eight million, one hundred sixty-five thousand, two hundred sixteen".