501307303004640 has 1152 divisors, whose sum is σ = 1946284410470400. Its totient is φ = 120843735459840.

The previous prime is 501307303004617. The next prime is 501307303004701. The reversal of 501307303004640 is 46400303703105.

501307303004640 is a `hidden beast` number, since 5 + 0 + 1 + 3 + 0 + 7 + 3 + 0 + 3 + 0 + 0 + 4 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 501307303004595 and 501307303004604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 99092170431 + ... + 99092175489.

It is an arithmetic number, because the mean of its divisors is an integer number (1689482995200).

Almost surely, 2^{501307303004640} 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 501307303004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973142205235200).

501307303004640 is an abundant number, since it is smaller than the sum of its proper divisors (1444977107465760).

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

501307303004640 is a wasteful number, since it uses less digits than its factorization.

501307303004640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6362 (or 6342 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

Adding to 501307303004640 its reverse (46400303703105), we get a palindrome (547707606707745).

The spelling of 501307303004640 in words is "five hundred one trillion, three hundred seven billion, three hundred three million, four thousand, six hundred forty".