505673494064640 has 1280 divisors, whose sum is σ = 1974679648128000. Its totient is φ = 121638666240000.

The previous prime is 505673494064537. The next prime is 505673494064647. The reversal of 505673494064640 is 46460494376505.

505673494064640 is a `hidden beast` number, since 5 + 0 + 5 + 67 + 3 + 494 + 0 + 6 + 46 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a super-3 number, since 3×505673494064640³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505673494064647) 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 127 ways as a sum of consecutive naturals, for example, 155543983015 + ... + 155543986265.

It is an arithmetic number, because the mean of its divisors is an integer number (1542718475100).

Almost surely, 2^{505673494064640} 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 505673494064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987339824064000).

505673494064640 is an abundant number, since it is smaller than the sum of its proper divisors (1469006154063360).

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

505673494064640 is a wasteful number, since it uses less digits than its factorization.

505673494064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4816 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 63.

The spelling of 505673494064640 in words is "five hundred five trillion, six hundred seventy-three billion, four hundred ninety-four million, sixty-four thousand, six hundred forty".