75605663660753 has 8 divisors (see below), whose sum is σ = 75636966973800. Its totient is φ = 75574361640960.

The previous prime is 75605663660749. The next prime is 75605663660767. The reversal of 75605663660753 is 35706636650657.

It can be written as a sum of positive squares in 4 ways, for example, as 47387969067664 + 28217694593089 = 6883892^2 + 5312033^2 .

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 75605663660753 - 2² = 75605663660749 is a prime.

It is a super-3 number, since 3×75605663660753³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 75605663660753.

It is not an unprimeable number, because it can be changed into a prime (75605663660453) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126951551 + ... + 127545707.

It is an arithmetic number, because the mean of its divisors is an integer number (9454620871725).

Almost surely, 2^{75605663660753} is an apocalyptic number.

It is an amenable number.

75605663660753 is a deficient number, since it is larger than the sum of its proper divisors (31303313047).

75605663660753 is a wasteful number, since it uses less digits than its factorization.

75605663660753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646627.

The product of its (nonzero) digits is 428652000, while the sum is 65.

The spelling of 75605663660753 in words is "seventy-five trillion, six hundred five billion, six hundred sixty-three million, six hundred sixty thousand, seven hundred fifty-three".