506406420640 has 48 divisors (see below), whose sum is σ = 1197312369120. Its totient is φ = 202405582080.

The previous prime is 506406420617. The next prime is 506406420683. The reversal of 506406420640 is 46024604605.

It is a self number, because there is not a number n which added to its sum of digits gives 506406420640.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1019250 + ... + 1432369.

It is an arithmetic number, because the mean of its divisors is an integer number (24944007690).

Almost surely, 2^506406420640 is an apocalyptic number.

It is an amenable number.

506406420640 is an abundant number, since it is smaller than the sum of its proper divisors (690905948480).

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

506406420640 is a wasteful number, since it uses less digits than its factorization.

506406420640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2452925 (or 2452917 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 506406420640 in words is "five hundred six billion, four hundred six million, four hundred twenty thousand, six hundred forty".