648608947200 has 528 divisors, whose sum is σ = 2404004988000. Its totient is φ = 171355668480.

The previous prime is 648608947193. The next prime is 648608947213. The reversal of 648608947200 is 2749806846.

648608947200 is a `hidden beast` number, since 6 + 4 + 8 + 608 + 9 + 4 + 7 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 75336496 + ... + 75345104.

It is an arithmetic number, because the mean of its divisors is an integer number (4553039750).

Almost surely, 2^648608947200 is an apocalyptic number.

648608947200 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 648608947200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202002494000).

648608947200 is an abundant number, since it is smaller than the sum of its proper divisors (1755396040800).

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

648608947200 is a wasteful number, since it uses less digits than its factorization.

648608947200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8757 (or 8728 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 648608947200 in words is "six hundred forty-eight billion, six hundred eight million, nine hundred forty-seven thousand, two hundred".