648617124560736 has 192 divisors, whose sum is σ = 1728478258311168. Its totient is φ = 212945433919488.

The previous prime is 648617124560711. The next prime is 648617124560747. The reversal of 648617124560736 is 637065421716846.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8276622225 + ... + 8276700591.

It is an arithmetic number, because the mean of its divisors is an integer number (9002490928704).

Almost surely, 2^{648617124560736} 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 648617124560736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (864239129155584).

648617124560736 is an abundant number, since it is smaller than the sum of its proper divisors (1079861133750432).

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

648617124560736 is a wasteful number, since it uses less digits than its factorization.

648617124560736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83013 (or 83005 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 66.

The spelling of 648617124560736 in words is "six hundred forty-eight trillion, six hundred seventeen billion, one hundred twenty-four million, five hundred sixty thousand, seven hundred thirty-six".