5664565603242 has 240 divisors, whose sum is σ = 15906158081352. Its totient is φ = 1493457315840.

The previous prime is 5664565603217. The next prime is 5664565603243. The reversal of 5664565603242 is 2423065654665.

5664565603242 is a `hidden beast` number, since 5 + 6 + 6 + 4 + 5 + 6 + 5 + 603 + 24 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1267873748001 + 4396691855241 = 1125999^2 + 2096829^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5664565603243) 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 119 ways as a sum of consecutive naturals, for example, 395535442 + ... + 395549762.

Almost surely, 2^{5664565603242} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5664565603242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7953079040676).

5664565603242 is an abundant number, since it is smaller than the sum of its proper divisors (10241592478110).

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

5664565603242 is a wasteful number, since it uses less digits than its factorization.

5664565603242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18195 (or 18179 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 54.

The spelling of 5664565603242 in words is "five trillion, six hundred sixty-four billion, five hundred sixty-five million, six hundred three thousand, two hundred forty-two".