648864616320 has 384 divisors, whose sum is σ = 2362951094400. Its totient is φ = 163616993280.

The previous prime is 648864616201. The next prime is 648864616321. The reversal of 648864616320 is 23616468846.

648864616320 is a `hidden beast` number, since 6 + 48 + 86 + 461 + 63 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648864616321) by changing a digit.

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, 61609455 + ... + 61619985.

It is an arithmetic number, because the mean of its divisors is an integer number (6153518475).

Almost surely, 2^648864616320 is an apocalyptic number.

648864616320 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 648864616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181475547200).

648864616320 is an abundant number, since it is smaller than the sum of its proper divisors (1714086478080).

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

648864616320 is a wasteful number, since it uses less digits than its factorization.

648864616320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11138 (or 11123 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 648864616320 in words is "six hundred forty-eight billion, eight hundred sixty-four million, six hundred sixteen thousand, three hundred twenty".