501774560742 has 128 divisors (see below), whose sum is σ = 1262854656000. Its totient is φ = 132072571008.

The previous prime is 501774560737. The next prime is 501774560789. The reversal of 501774560742 is 247065477105.

It is a junction number, because it is equal to n+sod(n) for n = 501774560691 and 501774560700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13599363 + ... + 13636209.

It is an arithmetic number, because the mean of its divisors is an integer number (9866052000).

Almost surely, 2^501774560742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 501774560742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631427328000).

501774560742 is an abundant number, since it is smaller than the sum of its proper divisors (761080095258).

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

501774560742 is a wasteful number, since it uses less digits than its factorization.

501774560742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37395 (or 37381 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 48.

The spelling of 501774560742 in words is "five hundred one billion, seven hundred seventy-four million, five hundred sixty thousand, seven hundred forty-two".