506985740768640 has 128 divisors (see below), whose sum is σ = 1846876627134720. Its totient is φ = 115882455029760.

The previous prime is 506985740768603. The next prime is 506985740768657. The reversal of 506985740768640 is 46867047589605.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 18861063226 + ... + 18861090105.

It is an arithmetic number, because the mean of its divisors is an integer number (14428723649490).

Almost surely, 2^{506985740768640} is an apocalyptic number.

It is an amenable number.

506985740768640 is an abundant number, since it is smaller than the sum of its proper divisors (1339890886366080).

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

506985740768640 is a wasteful number, since it uses less digits than its factorization.

506985740768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37722153360 (or 37722153348 counting only the distinct ones).

The product of its (nonzero) digits is 2438553600, while the sum is 75.

The spelling of 506985740768640 in words is "five hundred six trillion, nine hundred eighty-five billion, seven hundred forty million, seven hundred sixty-eight thousand, six hundred forty".