75568360609 has 27 divisors (see below), whose sum is σ = 88808335347. Its totient is φ = 64114777104.

The previous prime is 75568360607. The next prime is 75568360663. The reversal of 75568360609 is 90606386557.

The square root of 75568360609 is 274897.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 68740974225 + 6827386384 = 262185^2 + 82628^2 .

It is not a de Polignac number, because 75568360609 - 2¹ = 75568360607 is a prime.

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 75568360609.

It is not an unprimeable number, because it can be changed into a prime (75568360607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 332900154 + ... + 332900380.

Almost surely, 2^75568360609 is an apocalyptic number.

75568360609 is the 274897-th square number.

75568360609 is the 137449-th centered octagonal number.

It is an amenable number.

75568360609 is a deficient number, since it is larger than the sum of its proper divisors (13239974738).

75568360609 is an frugal number, since it uses more digits than its factorization.

75568360609 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 55.

The spelling of 75568360609 in words is "seventy-five billion, five hundred sixty-eight million, three hundred sixty thousand, six hundred nine".