648752516568 has 160 divisors (see below), whose sum is σ = 1957738250160. Its totient is φ = 199529153280.

The previous prime is 648752516549. The next prime is 648752516603. The reversal of 648752516568 is 865615257846.

648752516568 is a `hidden beast` number, since 6 + 4 + 8 + 7 + 52 + 5 + 16 + 568 = 666.

648752516568 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×648752516568² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20850703 + ... + 20881793.

Almost surely, 2^648752516568 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 648752516568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (978869125080).

648752516568 is an abundant number, since it is smaller than the sum of its proper divisors (1308985733592).

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

648752516568 is a wasteful number, since it uses less digits than its factorization.

648752516568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33599 (or 33586 counting only the distinct ones).

The product of its digits is 96768000, while the sum is 63.

The spelling of 648752516568 in words is "six hundred forty-eight billion, seven hundred fifty-two million, five hundred sixteen thousand, five hundred sixty-eight".