75867676857 has 72 divisors (see below), whose sum is σ = 133176541056. Its totient is φ = 40761667584.

The previous prime is 75867676849. The next prime is 75867676879.

75867676857 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75867676857 - 2³ = 75867676849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75867676057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29257353 + ... + 29259945.

Almost surely, 2^75867676857 is an apocalyptic number.

It is an amenable number.

75867676857 is a deficient number, since it is larger than the sum of its proper divisors (57308864199).

75867676857 is a wasteful number, since it uses less digits than its factorization.

75867676857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247 (or 4227 counting only the distinct ones).

The product of its digits is 829785600, while the sum is 72.

The spelling of 75867676857 in words is "seventy-five billion, eight hundred sixty-seven million, six hundred seventy-six thousand, eight hundred fifty-seven".