7157667609 has 9 divisors (see below), whose sum is σ = 10339219839. Its totient is φ = 4771609200.

The previous prime is 7157667577. The next prime is 7157667611. The reversal of 7157667609 is 9067667517.

It is a happy number.

The square root of 7157667609 is 84603.

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

7157667609 is a `hidden beast` number, since 7 + 1 + 576 + 6 + 7 + 60 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4760586009 + 2397081600 = 68997^2 + 48960^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 7157667609 - 2⁵ = 7157667577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7157687609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 239709 + ... + 267909.

Almost surely, 2^7157667609 is an apocalyptic number.

7157667609 is the 84603-rd square number.

7157667609 is the 42302-nd centered octagonal number.

It is an amenable number.

7157667609 is a deficient number, since it is larger than the sum of its proper divisors (3181552230).

7157667609 is an frugal number, since it uses more digits than its factorization.

7157667609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56408 (or 28204 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The cubic root of 7157667609 is about 1927.1869323531.

The spelling of 7157667609 in words is "seven billion, one hundred fifty-seven million, six hundred sixty-seven thousand, six hundred nine".