648284200200 has 1728 divisors, whose sum is σ = 2857785840000. Its totient is φ = 130828400640.

The previous prime is 648284200181. The next prime is 648284200217. The reversal of 648284200200 is 2002482846.

It is a happy number.

648284200200 is a `hidden beast` number, since 6 + 4 + 8 + 28 + 420 + 0 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 10987867771 + ... + 10987867829.

It is an arithmetic number, because the mean of its divisors is an integer number (1653811250).

Almost surely, 2^648284200200 is an apocalyptic number.

648284200200 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 648284200200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428892920000).

648284200200 is an abundant number, since it is smaller than the sum of its proper divisors (2209501639800).

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

648284200200 is a wasteful number, since it uses less digits than its factorization.

648284200200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 648284200200 in words is "six hundred forty-eight billion, two hundred eighty-four million, two hundred thousand, two hundred".