501486340320 has 768 divisors, whose sum is σ = 2105981337600. Its totient is φ = 109035694080.

The previous prime is 501486340283. The next prime is 501486340331. The reversal of 501486340320 is 23043684105.

501486340320 is a `hidden beast` number, since 5 + 0 + 14 + 8 + 634 + 0 + 3 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 55304427 + ... + 55313493.

It is an arithmetic number, because the mean of its divisors is an integer number (2742163200).

Almost surely, 2^501486340320 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 501486340320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052990668800).

501486340320 is an abundant number, since it is smaller than the sum of its proper divisors (1604494997280).

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

501486340320 is a wasteful number, since it uses less digits than its factorization.

501486340320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9188 (or 9174 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 501486340320 in words is "five hundred one billion, four hundred eighty-six million, three hundred forty thousand, three hundred twenty".