648919546240 has 128 divisors (see below), whose sum is σ = 1773608166720. Its totient is φ = 222402969600.

The previous prime is 648919546193. The next prime is 648919546267. The reversal of 648919546240 is 42645919846.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 12522624 + ... + 12574336.

Almost surely, 2^648919546240 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 648919546240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886804083360).

648919546240 is an abundant number, since it is smaller than the sum of its proper divisors (1124688620480).

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

648919546240 is a wasteful number, since it uses less digits than its factorization.

648919546240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54540 (or 54528 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 58.

The spelling of 648919546240 in words is "six hundred forty-eight billion, nine hundred nineteen million, five hundred forty-six thousand, two hundred forty".