7661575845 has 96 divisors (see below), whose sum is σ = 16579240704. Its totient is φ = 3179750400.

The previous prime is 7661575813. The next prime is 7661575871. The reversal of 7661575845 is 5485751667.

It is a happy number.

7661575845 is a `hidden beast` number, since 7 + 6 + 6 + 1 + 57 + 584 + 5 = 666.

7661575845 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 7661575845 - 2⁵ = 7661575813 is a prime.

Its product of digits (7056000) is a multiple of the sum of its prime divisors (3000).

It is a junction number, because it is equal to n+sod(n) for n = 7661575791 and 7661575800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5130919 + ... + 5132411.

It is an arithmetic number, because the mean of its divisors is an integer number (172700424).

Almost surely, 2^7661575845 is an apocalyptic number.

It is an amenable number.

7661575845 is an abundant number, since it is smaller than the sum of its proper divisors (8917664859).

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

7661575845 is a wasteful number, since it uses less digits than its factorization.

7661575845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003 (or 3000 counting only the distinct ones).

The product of its digits is 7056000, while the sum is 54.

The square root of 7661575845 is about 87530.4281093152. The cubic root of 7661575845 is about 1971.3906922126.

The spelling of 7661575845 in words is "seven billion, six hundred sixty-one million, five hundred seventy-five thousand, eight hundred forty-five".