75668355386657 has 64 divisors (see below), whose sum is σ = 85488059252736. Its totient is φ = 66380212800000.

The previous prime is 75668355386653. The next prime is 75668355386681.

75668355386657 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75668355386657 - 2² = 75668355386653 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (75668355386653) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20839534232 + ... + 20839537862.

It is an arithmetic number, because the mean of its divisors is an integer number (1335750925824).

Almost surely, 2^{75668355386657} is an apocalyptic number.

It is an amenable number.

75668355386657 is a deficient number, since it is larger than the sum of its proper divisors (9819703866079).

75668355386657 is a wasteful number, since it uses less digits than its factorization.

75668355386657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5142.

The product of its digits is 22861440000, while the sum is 80.

The spelling of 75668355386657 in words is "seventy-five trillion, six hundred sixty-eight billion, three hundred fifty-five million, three hundred eighty-six thousand, six hundred fifty-seven".