648000000 has 350 divisors, whose sum is σ = 2417605773. Its totient is φ = 172800000.

The previous prime is 647999993. The next prime is 648000047. The reversal of 648000000 is 846.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 4 ways, for example, as 110502144 + 537497856 = 10512^2 + 23184^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=3, B=600.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 34 ways as a sum of consecutive naturals, for example, 129599998 + ... + 129600002.

Almost surely, 2^648000000 is an apocalyptic number.

648000000 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 648000000

648000000 is an abundant number, since it is smaller than the sum of its proper divisors (1769605773).

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

648000000 is an frugal number, since it uses more digits than its factorization.

648000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 648000000 is about 25455.8441227157. The cubic root of 648000000 is about 865.3497421844.

Multiplying 648000000 by its sum of digits (18), we get a square (11664000000 = 108000²).

648000000 divided by its sum of digits (18) gives a square (36000000 = 6000²).

648000000 divided by its product of nonzero digits (192) gives a cube (3375000 = 150³).

Adding to 648000000 its reverse (846), we get a palindrome (648000846).

It can be divided in two parts, 64 and 8000000, that multiplied together give a cube (512000000 = 800³).

The spelling of 648000000 in words is "six hundred forty-eight million", and thus it is an aban number.