648816587328 has 224 divisors, whose sum is σ = 2113923314944. Its totient is φ = 171026546688.

The previous prime is 648816587281. The next prime is 648816587347. The reversal of 648816587328 is 823785618846.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37328976 + ... + 37346352.

It is an arithmetic number, because the mean of its divisors is an integer number (9437157656).

Almost surely, 2^648816587328 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 648816587328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1056961657472).

648816587328 is an abundant number, since it is smaller than the sum of its proper divisors (1465106727616).

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

648816587328 is a wasteful number, since it uses less digits than its factorization.

648816587328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19549 (or 19539 counting only the distinct ones).

The product of its digits is 123863040, while the sum is 66.

The spelling of 648816587328 in words is "six hundred forty-eight billion, eight hundred sixteen million, five hundred eighty-seven thousand, three hundred twenty-eight".