648066726216000 has 5376 divisors, whose sum is σ = 3057243291648000. Its totient is φ = 127242333388800.

The previous prime is 648066726215971. The next prime is 648066726216037. The reversal of 648066726216000 is 612627660846.

648066726216000 is a `hidden beast` number, since 6 + 4 + 8 + 0 + 6 + 6 + 7 + 2 + 6 + 21 + 600 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 2829985703886 + ... + 2829985704114.

It is an arithmetic number, because the mean of its divisors is an integer number (568683648000).

Almost surely, 2^{648066726216000} is an apocalyptic number.

648066726216000 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 648066726216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1528621645824000).

648066726216000 is an abundant number, since it is smaller than the sum of its proper divisors (2409176565432000).

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

648066726216000 is a wasteful number, since it uses less digits than its factorization.

648066726216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 648066726216000 in words is "six hundred forty-eight trillion, sixty-six billion, seven hundred twenty-six million, two hundred sixteen thousand".