502720068240 has 720 divisors, whose sum is σ = 2037737969280. Its totient is φ = 110328791040.

The previous prime is 502720068229. The next prime is 502720068269. The reversal of 502720068240 is 42860027205.

502720068240 is a `hidden beast` number, since 502 + 72 + 0 + 0 + 6 + 82 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×502720068240² (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 junction number, because it is equal to n+sod(n) for n = 502720068195 and 502720068204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 39296245 + ... + 39309035.

It is an arithmetic number, because the mean of its divisors is an integer number (2830191624).

Almost surely, 2^502720068240 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 502720068240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018868984640).

502720068240 is an abundant number, since it is smaller than the sum of its proper divisors (1535017901040).

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

502720068240 is a wasteful number, since it uses less digits than its factorization.

502720068240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12872 (or 12850 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 502720068240 in words is "five hundred two billion, seven hundred twenty million, sixty-eight thousand, two hundred forty".