648642365760 has 224 divisors, whose sum is σ = 2196278340480. Its totient is φ = 161624752128.

The previous prime is 648642365729. The next prime is 648642365779. The reversal of 648642365760 is 67563246846.

It is a self number, because there is not a number n which added to its sum of digits gives 648642365760.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2125512 + ... + 2411448.

It is an arithmetic number, because the mean of its divisors is an integer number (9804814020).

Almost surely, 2^648642365760 is an apocalyptic number.

648642365760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648642365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1098139170240).

648642365760 is an abundant number, since it is smaller than the sum of its proper divisors (1547635974720).

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

648642365760 is a wasteful number, since it uses less digits than its factorization.

648642365760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286113 (or 286103 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 648642365760 in words is "six hundred forty-eight billion, six hundred forty-two million, three hundred sixty-five thousand, seven hundred sixty".