504967674528 has 384 divisors, whose sum is σ = 1551246681600. Its totient is φ = 159589785600.

The previous prime is 504967674487. The next prime is 504967674553. The reversal of 504967674528 is 825476769405.

504967674528 is a `hidden beast` number, since 5 + 0 + 49 + 6 + 7 + 67 + 4 + 528 = 666.

It is a super-2 number, since 2×504967674528² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 663557668 + ... + 663558428.

It is an arithmetic number, because the mean of its divisors is an integer number (4039704900).

Almost surely, 2^504967674528 is an apocalyptic number.

504967674528 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 504967674528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775623340800).

504967674528 is an abundant number, since it is smaller than the sum of its proper divisors (1046279007072).

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

504967674528 is a wasteful number, since it uses less digits than its factorization.

504967674528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1253 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 504967674528 in words is "five hundred four billion, nine hundred sixty-seven million, six hundred seventy-four thousand, five hundred twenty-eight".