75705177147663 has 16 divisors (see below), whose sum is σ = 115362733193216. Its totient is φ = 43259177507040.

The previous prime is 75705177147647. The next prime is 75705177147671. The reversal of 75705177147663 is 36674177150757.

It is not a de Polignac number, because 75705177147663 - 2⁴ = 75705177147647 is a prime.

It is a super-2 number, since 2×75705177147663² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 75705177147594 and 75705177147603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75705177147863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37480831 + ... + 39448992.

It is an arithmetic number, because the mean of its divisors is an integer number (7210170824576).

Almost surely, 2^{75705177147663} is an apocalyptic number.

75705177147663 is a deficient number, since it is larger than the sum of its proper divisors (39657556045553).

75705177147663 is a wasteful number, since it uses less digits than its factorization.

75705177147663 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76976694.

The product of its (nonzero) digits is 181515600, while the sum is 66.

The spelling of 75705177147663 in words is "seventy-five trillion, seven hundred five billion, one hundred seventy-seven million, one hundred forty-seven thousand, six hundred sixty-three".