75664560242331 has 48 divisors (see below), whose sum is σ = 121635086025024. Its totient is φ = 45080165087232.

The previous prime is 75664560242261. The next prime is 75664560242357. The reversal of 75664560242331 is 13324206546657.

75664560242331 is a `hidden beast` number, since 7 + 5 + 6 + 6 + 4 + 5 + 60 + 242 + 331 = 666.

It is not a de Polignac number, because 75664560242331 - 2²¹ = 75664558145179 is a prime.

It is a super-2 number, since 2×75664560242331² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (75664560240331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77991336 + ... + 78955541.

It is an arithmetic number, because the mean of its divisors is an integer number (2534064292188).

Almost surely, 2^{75664560242331} is an apocalyptic number.

75664560242331 is a deficient number, since it is larger than the sum of its proper divisors (45970525782693).

75664560242331 is a wasteful number, since it uses less digits than its factorization.

75664560242331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156947060 (or 156947057 counting only the distinct ones).

The product of its (nonzero) digits is 21772800, while the sum is 54.

Adding to 75664560242331 its reverse (13324206546657), we get a palindrome (88988766788988).

The spelling of 75664560242331 in words is "seventy-five trillion, six hundred sixty-four billion, five hundred sixty million, two hundred forty-two thousand, three hundred thirty-one".