504613731840 has 160 divisors (see below), whose sum is σ = 1615035666816. Its totient is φ = 134409461760.

The previous prime is 504613731767. The next prime is 504613731899. The reversal of 504613731840 is 48137316405.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-5 number, since 5×504613731840⁵ (a number of 60 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 504613731792 and 504613731801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6744235 + ... + 6818645.

Almost surely, 2^504613731840 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 504613731840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807517833408).

504613731840 is an abundant number, since it is smaller than the sum of its proper divisors (1110421934976).

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

504613731840 is an equidigital number, since it uses as much as digits as its factorization.

504613731840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75320 (or 75304 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 504613731840 in words is "five hundred four billion, six hundred thirteen million, seven hundred thirty-one thousand, eight hundred forty".