6715638601 has 27 divisors (see below), whose sum is σ = 8182567911. Its totient is φ = 5495172144.

The previous prime is 6715638599. The next prime is 6715638613. The reversal of 6715638601 is 1068365176.

The square root of 6715638601 is 81949.

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

6715638601 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 5461062201 + 1254576400 = 73899^2 + 35420^2 .

It is not a de Polignac number, because 6715638601 - 2¹ = 6715638599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6715638641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13193535 + ... + 13194043.

Almost surely, 2^6715638601 is an apocalyptic number.

6715638601 is the 81949-th square number.

6715638601 is the 40975-th centered octagonal number.

It is an amenable number.

6715638601 is a deficient number, since it is larger than the sum of its proper divisors (1466929310).

6715638601 is an frugal number, since it uses more digits than its factorization.

6715638601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The cubic root of 6715638601 is about 1886.6692548497.

The spelling of 6715638601 in words is "six billion, seven hundred fifteen million, six hundred thirty-eight thousand, six hundred one".