506602048680 has 960 divisors, whose sum is σ = 2245552848000. Its totient is φ = 101253970944.

The previous prime is 506602048609. The next prime is 506602048681. The reversal of 506602048680 is 86840206605.

506602048680 is a `hidden beast` number, since 506 + 6 + 0 + 20 + 48 + 6 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (506602048681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 39207261 + ... + 39220179.

It is an arithmetic number, because the mean of its divisors is an integer number (2339117550).

Almost surely, 2^506602048680 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 506602048680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122776424000).

506602048680 is an abundant number, since it is smaller than the sum of its proper divisors (1738950799320).

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

506602048680 is a wasteful number, since it uses less digits than its factorization.

506602048680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12988 (or 12968 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 506602048680 in words is "five hundred six billion, six hundred two million, forty-eight thousand, six hundred eighty".