504600606720 has 960 divisors, whose sum is σ = 2081459540160. Its totient is φ = 114534383616.

The previous prime is 504600606707. The next prime is 504600606721. The reversal of 504600606720 is 27606006405.

504600606720 is a `hidden beast` number, since 5 + 0 + 46 + 0 + 0 + 606 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504600606721) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1352816454 + ... + 1352816826.

It is an arithmetic number, because the mean of its divisors is an integer number (2168187021).

Almost surely, 2^504600606720 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 504600606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1040729770080).

504600606720 is an abundant number, since it is smaller than the sum of its proper divisors (1576858933440).

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

504600606720 is a wasteful number, since it uses less digits than its factorization.

504600606720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 504600606720 in words is "five hundred four billion, six hundred million, six hundred six thousand, seven hundred twenty".