506221302640 has 160 divisors (see below), whose sum is σ = 1246735203840. Its totient is φ = 190843699200.

The previous prime is 506221302617. The next prime is 506221302659. The reversal of 506221302640 is 46203122605.

It is a Harshad number since it is a multiple of its sum of digits (31).

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 31 ways as a sum of consecutive naturals, for example, 62732526 + ... + 62740594.

It is an arithmetic number, because the mean of its divisors is an integer number (7792095024).

Almost surely, 2^506221302640 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 506221302640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623367601920).

506221302640 is an abundant number, since it is smaller than the sum of its proper divisors (740513901200).

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

506221302640 is a wasteful number, since it uses less digits than its factorization.

506221302640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8771 (or 8765 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The spelling of 506221302640 in words is "five hundred six billion, two hundred twenty-one million, three hundred two thousand, six hundred forty".