75666558656 has 56 divisors (see below), whose sum is σ = 161869831200. Its totient is φ = 34886541312.

The previous prime is 75666558641. The next prime is 75666558659. The reversal of 75666558656 is 65685566657.

It is a junction number, because it is equal to n+sod(n) for n = 75666558592 and 75666558601.

It is not an unprimeable number, because it can be changed into a prime (75666558659) 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, 757520 + ... + 851568.

It is an arithmetic number, because the mean of its divisors is an integer number (2890532700).

Almost surely, 2^75666558656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75666558656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80934915600).

75666558656 is an abundant number, since it is smaller than the sum of its proper divisors (86203272544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

75666558656 is a wasteful number, since it uses less digits than its factorization.

75666558656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95041 (or 95031 counting only the distinct ones).

The product of its digits is 272160000, while the sum is 65.

The spelling of 75666558656 in words is "seventy-five billion, six hundred sixty-six million, five hundred fifty-eight thousand, six hundred fifty-six".