504811436640 has 192 divisors, whose sum is σ = 1817635438080. Its totient is φ = 115365519360.

The previous prime is 504811436603. The next prime is 504811436663. The reversal of 504811436640 is 46634118405.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 504811436592 and 504811436601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29186395 + ... + 29203685.

It is an arithmetic number, because the mean of its divisors is an integer number (9466851240).

Almost surely, 2^504811436640 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 504811436640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (908817719040).

504811436640 is an abundant number, since it is smaller than the sum of its proper divisors (1312824001440).

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

504811436640 is a wasteful number, since it uses less digits than its factorization.

504811436640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26005 (or 25997 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 504811436640 in words is "five hundred four billion, eight hundred eleven million, four hundred thirty-six thousand, six hundred forty".