506753622336 has 224 divisors, whose sum is σ = 1537927896960. Its totient is φ = 146750103552.

The previous prime is 506753622299. The next prime is 506753622337. The reversal of 506753622336 is 633226357605.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506753622337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7135675 + ... + 7206341.

It is an arithmetic number, because the mean of its divisors is an integer number (6865749540).

Almost surely, 2^506753622336 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 506753622336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768963948480).

506753622336 is an abundant number, since it is smaller than the sum of its proper divisors (1031174274624).

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

506753622336 is a wasteful number, since it uses less digits than its factorization.

506753622336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70738 (or 70702 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 48.

The spelling of 506753622336 in words is "five hundred six billion, seven hundred fifty-three million, six hundred twenty-two thousand, three hundred thirty-six".