504030739968 has 1120 divisors, whose sum is σ = 1831958937600. Its totient is φ = 138265989120.

The previous prime is 504030739957. The next prime is 504030739991. The reversal of 504030739968 is 869937030405.

504030739968 is a `hidden beast` number, since 504 + 0 + 3 + 0 + 73 + 9 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 3968745921 + ... + 3968746047.

Almost surely, 2^504030739968 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 504030739968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (915979468800).

504030739968 is an abundant number, since it is smaller than the sum of its proper divisors (1327928197632).

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

504030739968 is an frugal number, since it uses more digits than its factorization.

504030739968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 504030739968 in words is "five hundred four billion, thirty million, seven hundred thirty-nine thousand, nine hundred sixty-eight".