504545682240 has 392 divisors, whose sum is σ = 1805736774600. Its totient is φ = 134217990144.

The previous prime is 504545682229. The next prime is 504545682253. The reversal of 504545682240 is 42286545405.

504545682240 is a `hidden beast` number, since 5 + 0 + 4 + 545 + 6 + 82 + 24 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9616548096 + 494929134144 = 98064^2 + 703512^2 .

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 55 ways as a sum of consecutive naturals, for example, 104740312 + ... + 104745128.

Almost surely, 2^504545682240 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 504545682240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902868387300).

504545682240 is an abundant number, since it is smaller than the sum of its proper divisors (1301191092360).

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

504545682240 is an equidigital number, since it uses as much as digits as its factorization.

504545682240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5301 (or 5276 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 504545682240 in words is "five hundred four billion, five hundred forty-five million, six hundred eighty-two thousand, two hundred forty".