648305064 has 192 divisors, whose sum is σ = 2047032000. Its totient is φ = 183183360.

The previous prime is 648305041. The next prime is 648305143. The reversal of 648305064 is 460503846.

648305064 is a `hidden beast` number, since 648 + 3 + 0 + 5 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 2409922 + ... + 2410190.

It is an arithmetic number, because the mean of its divisors is an integer number (10661625).

Almost surely, 2^648305064 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 648305064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023516000).

648305064 is an abundant number, since it is smaller than the sum of its proper divisors (1398726936).

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

648305064 is a wasteful number, since it uses less digits than its factorization.

648305064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 648305064 is about 25461.8354405176. The cubic root of 648305064 is about 865.4855166897.

The spelling of 648305064 in words is "six hundred forty-eight million, three hundred five thousand, sixty-four".