506260147680 has 960 divisors, whose sum is σ = 2109714647040. Its totient is φ = 111924633600.

The previous prime is 506260147667. The next prime is 506260147693. The reversal of 506260147680 is 86741062605.

506260147680 is a `hidden beast` number, since 5 + 0 + 626 + 0 + 14 + 7 + 6 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (506260147667) and next prime (506260147693).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 487256601 + ... + 487257639.

It is an arithmetic number, because the mean of its divisors is an integer number (2197619424).

Almost surely, 2^506260147680 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 506260147680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1054857323520).

506260147680 is an abundant number, since it is smaller than the sum of its proper divisors (1603454499360).

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

506260147680 is a wasteful number, since it uses less digits than its factorization.

506260147680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 506260147680 in words is "five hundred six billion, two hundred sixty million, one hundred forty-seven thousand, six hundred eighty".