506064243420 has 144 divisors (see below), whose sum is σ = 1617685655040. Its totient is φ = 127702908288.

The previous prime is 506064243361. The next prime is 506064243449. The reversal of 506064243420 is 24342460605.

506064243420 is a `hidden beast` number, since 5 + 0 + 6 + 0 + 642 + 4 + 3 + 4 + 2 + 0 = 666.

It is a super-2 number, since 2×506064243420² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 2950129 + ... + 3116951.

It is an arithmetic number, because the mean of its divisors is an integer number (11233928160).

Almost surely, 2^506064243420 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 506064243420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808842827520).

506064243420 is an abundant number, since it is smaller than the sum of its proper divisors (1111621411620).

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

506064243420 is a wasteful number, since it uses less digits than its factorization.

506064243420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167744 (or 167739 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 506064243420 in words is "five hundred six billion, sixty-four million, two hundred forty-three thousand, four hundred twenty".