648220708908864 has 1120 divisors, whose sum is σ = 2490682573209600. Its totient is φ = 161880001597440.

The previous prime is 648220708908841. The next prime is 648220708908887. The reversal of 648220708908864 is 468809807022846.

648220708908864 is a `hidden beast` number, since 6 + 482 + 2 + 0 + 7 + 0 + 8 + 9 + 0 + 88 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (648220708908841) and next prime (648220708908887).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 648220708908792 and 648220708908801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18921162967 + ... + 18921197225.

It is an arithmetic number, because the mean of its divisors is an integer number (2223823726080).

Almost surely, 2^{648220708908864} is an apocalyptic number.

648220708908864 is a gapful number since it is divisible by the number (64) 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 648220708908864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245341286604800).

648220708908864 is an abundant number, since it is smaller than the sum of its proper divisors (1842461864300736).

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

648220708908864 is a wasteful number, since it uses less digits than its factorization.

648220708908864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36433 (or 36414 counting only the distinct ones).

The product of its (nonzero) digits is 594542592, while the sum is 72.

The spelling of 648220708908864 in words is "six hundred forty-eight trillion, two hundred twenty billion, seven hundred eight million, nine hundred eight thousand, eight hundred sixty-four".