648828583200 has 1728 divisors, whose sum is σ = 2913113548800. Its totient is φ = 132478156800.

The previous prime is 648828583189. The next prime is 648828583241. The reversal of 648828583200 is 2385828846.

648828583200 is a `hidden beast` number, since 6 + 4 + 88 + 285 + 83 + 200 = 666.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1960207035 + ... + 1960207365.

It is an arithmetic number, because the mean of its divisors is an integer number (1685829600).

Almost surely, 2^648828583200 is an apocalyptic number.

648828583200 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 648828583200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456556774400).

648828583200 is an abundant number, since it is smaller than the sum of its proper divisors (2264284965600).

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

648828583200 is a wasteful number, since it uses less digits than its factorization.

648828583200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 648828583200 in words is "six hundred forty-eight billion, eight hundred twenty-eight million, five hundred eighty-three thousand, two hundred".