7638107905 has 16 divisors (see below), whose sum is σ = 9708131664. Its totient is φ = 5749125120.

The previous prime is 7638107849. The next prime is 7638107921. The reversal of 7638107905 is 5097018367.

It can be written as a sum of positive squares in 8 ways, for example, as 172975104 + 7465132801 = 13152^2 + 86401^2 .

It is not a de Polignac number, because 7638107905 - 2⁷ = 7638107777 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273385 + ... + 300025.

It is an arithmetic number, because the mean of its divisors is an integer number (606758229).

Almost surely, 2^7638107905 is an apocalyptic number.

It is an amenable number.

7638107905 is a deficient number, since it is larger than the sum of its proper divisors (2070023759).

7638107905 is a wasteful number, since it uses less digits than its factorization.

7638107905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30036.

The product of its (nonzero) digits is 317520, while the sum is 46.

The square root of 7638107905 is about 87396.2693997862. The cubic root of 7638107905 is about 1969.3757979283.

The spelling of 7638107905 in words is "seven billion, six hundred thirty-eight million, one hundred seven thousand, nine hundred five".