506675980661760 has 4224 divisors, whose sum is σ = 2299372863750144. Its totient is φ = 100302307983360.

The previous prime is 506675980661671. The next prime is 506675980661771. The reversal of 506675980661760 is 67166089576605.

506675980661760 is a `hidden beast` number, since 506 + 6 + 7 + 59 + 8 + 0 + 6 + 6 + 1 + 7 + 60 = 666.

It is a super-3 number, since 3×506675980661760³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 775920337594 + ... + 775920338246.

Almost surely, 2^{506675980661760} 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 506675980661760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149686431875072).

506675980661760 is an abundant number, since it is smaller than the sum of its proper divisors (1792696883088384).

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

506675980661760 is a wasteful number, since it uses less digits than its factorization.

506675980661760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 506675980661760 in words is "five hundred six trillion, six hundred seventy-five billion, nine hundred eighty million, six hundred sixty-one thousand, seven hundred sixty".