504262738304 has 128 divisors (see below), whose sum is σ = 1115224588800. Its totient is φ = 225652230144.

The previous prime is 504262738303. The next prime is 504262738333. The reversal of 504262738304 is 403837262405.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504262738303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8338127 + ... + 8398385.

It is an arithmetic number, because the mean of its divisors is an integer number (8712692100).

Almost surely, 2^504262738304 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 504262738304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557612294400).

504262738304 is an abundant number, since it is smaller than the sum of its proper divisors (610961850496).

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

504262738304 is a wasteful number, since it uses less digits than its factorization.

504262738304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60440 (or 60428 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 44.

The spelling of 504262738304 in words is "five hundred four billion, two hundred sixty-two million, seven hundred thirty-eight thousand, three hundred four".