506435661738640 has 80 divisors (see below), whose sum is σ = 1244042210577600. Its totient is φ = 191199031911936.

The previous prime is 506435661738637. The next prime is 506435661738673. The reversal of 506435661738640 is 46837166534605.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618887322 + ... + 619705081.

It is an arithmetic number, because the mean of its divisors is an integer number (15550527632220).

Almost surely, 2^{506435661738640} is an apocalyptic number.

It is an amenable number.

506435661738640 is an abundant number, since it is smaller than the sum of its proper divisors (737606548838960).

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

506435661738640 is a wasteful number, since it uses less digits than its factorization.

506435661738640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238592704 (or 1238592698 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 64.

The spelling of 506435661738640 in words is "five hundred six trillion, four hundred thirty-five billion, six hundred sixty-one million, seven hundred thirty-eight thousand, six hundred forty".