648664632 has 256 divisors, whose sum is σ = 2301235200. Its totient is φ = 164384640.

The previous prime is 648664609. The next prime is 648664637. The reversal of 648664632 is 236466846.

648664632 is a `hidden beast` number, since 6 + 4 + 8 + 6 + 6 + 4 + 632 = 666.

648664632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648664637) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 714723 + ... + 715629.

It is an arithmetic number, because the mean of its divisors is an integer number (8989200).

Almost surely, 2^648664632 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 648664632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1150617600).

648664632 is an abundant number, since it is smaller than the sum of its proper divisors (1652570568).

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

648664632 is a wasteful number, since it uses less digits than its factorization.

648664632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 973 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 648664632 is about 25468.8953824071. The cubic root of 648664632 is about 865.6454945549.

The spelling of 648664632 in words is "six hundred forty-eight million, six hundred sixty-four thousand, six hundred thirty-two".