648906785239200 has 1152 divisors, whose sum is σ = 2336520453120000. Its totient is φ = 155787544166400.

The previous prime is 648906785239189. The next prime is 648906785239201. The reversal of 648906785239200 is 2932587609846.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (648906785239201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 87489113892 + ... + 87489121308.

It is an arithmetic number, because the mean of its divisors is an integer number (2028229560000).

Almost surely, 2^{648906785239200} is an apocalyptic number.

648906785239200 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 648906785239200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1168260226560000).

648906785239200 is an abundant number, since it is smaller than the sum of its proper divisors (1687613667880800).

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

648906785239200 is a wasteful number, since it uses less digits than its factorization.

648906785239200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8598 (or 8585 counting only the distinct ones).

The product of its (nonzero) digits is 313528320, while the sum is 69.

The spelling of 648906785239200 in words is "six hundred forty-eight trillion, nine hundred six billion, seven hundred eighty-five million, two hundred thirty-nine thousand, two hundred".