506721307140 has 192 divisors, whose sum is σ = 1676048371200. Its totient is φ = 126811795968.

The previous prime is 506721307069. The next prime is 506721307187. The reversal of 506721307140 is 41703127605.

It is a happy number.

506721307140 is a `hidden beast` number, since 506 + 7 + 2 + 1 + 3 + 0 + 7 + 140 = 666.

506721307140 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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 = 506721307095 and 506721307104.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 273366 + ... + 1043154.

It is an arithmetic number, because the mean of its divisors is an integer number (8729418600).

Almost surely, 2^506721307140 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 506721307140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838024185600).

506721307140 is an abundant number, since it is smaller than the sum of its proper divisors (1169327064060).

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

506721307140 is a wasteful number, since it uses less digits than its factorization.

506721307140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769883 (or 769875 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 506721307140 in words is "five hundred six billion, seven hundred twenty-one million, three hundred seven thousand, one hundred forty".