506302440336 has 180 divisors, whose sum is σ = 1798125408144. Its totient is φ = 131507107200.

The previous prime is 506302440311. The next prime is 506302440421. The reversal of 506302440336 is 633044203605.

506302440336 is a `hidden beast` number, since 50 + 6 + 30 + 244 + 0 + 336 = 666.

506302440336 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×506302440336² (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 self number, because there is not a number n which added to its sum of digits gives 506302440336.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3183970 + ... + 3339201.

Almost surely, 2^506302440336 is an apocalyptic number.

506302440336 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

506302440336 is an abundant number, since it is smaller than the sum of its proper divisors (1291822967808).

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

506302440336 is a wasteful number, since it uses less digits than its factorization.

506302440336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6523210 (or 6523194 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 36.

The spelling of 506302440336 in words is "five hundred six billion, three hundred two million, four hundred forty thousand, three hundred thirty-six".