648045762728 has 192 divisors, whose sum is σ = 1635206952960. Its totient is φ = 234765692928.

The previous prime is 648045762709. The next prime is 648045762731. The reversal of 648045762728 is 827267540846.

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 47 ways as a sum of consecutive naturals, for example, 5898425 + ... + 6007287.

It is an arithmetic number, because the mean of its divisors is an integer number (8516702880).

Almost surely, 2^648045762728 is an apocalyptic number.

648045762728 is a gapful number since it is divisible by the number (68) 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 648045762728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817603476480).

648045762728 is an abundant number, since it is smaller than the sum of its proper divisors (987161190232).

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

648045762728 is a wasteful number, since it uses less digits than its factorization.

648045762728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108956 (or 108939 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 59.

The spelling of 648045762728 in words is "six hundred forty-eight billion, forty-five million, seven hundred sixty-two thousand, seven hundred twenty-eight".