75685858657 has 8 divisors (see below), whose sum is σ = 77450648040. Its totient is φ = 73933541760.

The previous prime is 75685858649. The next prime is 75685858679.

75685858657 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 47105927521 + 28579931136 = 217039^2 + 169056^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 75685858657 - 2³ = 75685858649 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75685858697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3105844 + ... + 3130117.

It is an arithmetic number, because the mean of its divisors is an integer number (9681331005).

Almost surely, 2^75685858657 is an apocalyptic number.

It is an amenable number.

75685858657 is a deficient number, since it is larger than the sum of its proper divisors (1764789383).

75685858657 is a wasteful number, since it uses less digits than its factorization.

75685858657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6236243.

The product of its digits is 564480000, while the sum is 70.

The spelling of 75685858657 in words is "seventy-five billion, six hundred eighty-five million, eight hundred fifty-eight thousand, six hundred fifty-seven".