648332508096 has 1344 divisors, whose sum is σ = 2501903738880. Its totient is φ = 155788738560.

The previous prime is 648332508079. The next prime is 648332508139. The reversal of 648332508096 is 690805233846.

648332508096 is a `hidden beast` number, since 6 + 48 + 3 + 3 + 2 + 508 + 0 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3747586666 + ... + 3747586838.

It is an arithmetic number, because the mean of its divisors is an integer number (1861535520).

Almost surely, 2^648332508096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648332508096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250951869440).

648332508096 is an abundant number, since it is smaller than the sum of its proper divisors (1853571230784).

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

648332508096 is a wasteful number, since it uses less digits than its factorization.

648332508096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 648332508096 in words is "six hundred forty-eight billion, three hundred thirty-two million, five hundred eight thousand, ninety-six".