506622574080 has 1440 divisors, whose sum is σ = 2164881438720. Its totient is φ = 111257763840.

The previous prime is 506622574069. The next prime is 506622574099. The reversal of 506622574080 is 80475226605.

506622574080 is a `hidden beast` number, since 50 + 6 + 6 + 22 + 574 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 143 ways as a sum of consecutive naturals, for example, 3644766651 + ... + 3644766789.

It is an arithmetic number, because the mean of its divisors is an integer number (1503389888).

Almost surely, 2^506622574080 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 506622574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082440719360).

506622574080 is an abundant number, since it is smaller than the sum of its proper divisors (1658258864640).

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

506622574080 is an frugal number, since it uses more digits than its factorization.

506622574080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 506622574080 in words is "five hundred six billion, six hundred twenty-two million, five hundred seventy-four thousand, eighty".