504569012640 has 576 divisors, whose sum is σ = 2010059089920. Its totient is φ = 104138496000.

The previous prime is 504569012627. The next prime is 504569012671. The reversal of 504569012640 is 46210965405.

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 = 504569012592 and 504569012601.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61386451 + ... + 61394669.

It is an arithmetic number, because the mean of its divisors is an integer number (3489685920).

Almost surely, 2^504569012640 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 504569012640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1005029544960).

504569012640 is an abundant number, since it is smaller than the sum of its proper divisors (1505490077280).

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

504569012640 is a wasteful number, since it uses less digits than its factorization.

504569012640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8417 (or 8398 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 504569012640 in words is "five hundred four billion, five hundred sixty-nine million, twelve thousand, six hundred forty".