648900000 has 432 divisors, whose sum is σ = 2661579648. Its totient is φ = 146880000.

The previous prime is 648899981. The next prime is 648900011. The reversal of 648900000 is 9846.

648900000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6299949 + ... + 6300051.

It is an arithmetic number, because the mean of its divisors is an integer number (6161064).

Almost surely, 2^648900000 is an apocalyptic number.

648900000 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 648900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1330789824).

648900000 is an abundant number, since it is smaller than the sum of its proper divisors (2012679648).

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

648900000 is a wasteful number, since it uses less digits than its factorization.

648900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 648900000 is about 25473.5156584245. The cubic root of 648900000 is about 865.7501817336.

Adding to 648900000 its reverse (9846), we get a palindrome (648909846).

The spelling of 648900000 in words is "six hundred forty-eight million, nine hundred thousand".