7567608064 has 27 divisors (see below), whose sum is σ = 15108433977. Its totient is φ = 3783108096.

The previous prime is 7567608049. The next prime is 7567608067. The reversal of 7567608064 is 4608067657.

The square root of 7567608064 is 86992.

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

It can be written as a sum of positive squares in only one way, i.e., 4271929600 + 3295678464 = 65360^2 + 57408^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7567607999 and 7567608017.

It is not an unprimeable number, because it can be changed into a prime (7567608067) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1389154 + ... + 1394590.

Almost surely, 2^7567608064 is an apocalyptic number.

7567608064 is the 86992-nd square number.

It is an amenable number.

7567608064 is a deficient number, since it is larger than the sum of its proper divisors (7540825913).

7567608064 is an frugal number, since it uses more digits than its factorization.

7567608064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10890 (or 5439 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 49.

The cubic root of 7567608064 is about 1963.2979379191.

Multiplying 7567608064 by its sum of digits (49), we get a square (370812795136 = 608944²).

The spelling of 7567608064 in words is "seven billion, five hundred sixty-seven million, six hundred eight thousand, sixty-four".