648328320 has 256 divisors, whose sum is σ = 2432332800. Its totient is φ = 162643968.

The previous prime is 648328253. The next prime is 648328333. The reversal of 648328320 is 23823846.

648328320 is a `hidden beast` number, since 6 + 4 + 8 + 328 + 320 = 666.

It is a super-2 number, since 2×648328320² = 840659221028044800, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292657 + ... + 294863.

It is an arithmetic number, because the mean of its divisors is an integer number (9501300).

Almost surely, 2^648328320 is an apocalyptic number.

648328320 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 648328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1216166400).

648328320 is an abundant number, since it is smaller than the sum of its proper divisors (1784004480).

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

648328320 is a wasteful number, since it uses less digits than its factorization.

648328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2252 (or 2234 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 648328320 is about 25462.2921199172. The cubic root of 648328320 is about 865.4958654651.

The spelling of 648328320 in words is "six hundred forty-eight million, three hundred twenty-eight thousand, three hundred twenty".