501608574720 has 576 divisors, whose sum is σ = 1953708180480. Its totient is φ = 120858624000.

The previous prime is 501608574707. The next prime is 501608574739. The reversal of 501608574720 is 27475806105.

501608574720 is a `hidden beast` number, since 5 + 0 + 1 + 6 + 0 + 8 + 574 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×501608574720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63482770 + ... + 63490670.

It is an arithmetic number, because the mean of its divisors is an integer number (3391854480).

Almost surely, 2^501608574720 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 501608574720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976854090240).

501608574720 is an abundant number, since it is smaller than the sum of its proper divisors (1452099605760).

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

501608574720 is a wasteful number, since it uses less digits than its factorization.

501608574720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8109 (or 8089 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 501608574720 in words is "five hundred one billion, six hundred eight million, five hundred seventy-four thousand, seven hundred twenty".