648664122240 has 384 divisors, whose sum is σ = 2445146121600. Its totient is φ = 163872294912.

The previous prime is 648664122181. The next prime is 648664122257. The reversal of 648664122240 is 42221466846.

648664122240 is a `hidden beast` number, since 6 + 4 + 8 + 6 + 6 + 412 + 224 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2845119 + ... + 3064641.

It is an arithmetic number, because the mean of its divisors is an integer number (6367568025).

Almost surely, 2^648664122240 is an apocalyptic number.

648664122240 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 648664122240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222573060800).

648664122240 is an abundant number, since it is smaller than the sum of its proper divisors (1796481999360).

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

648664122240 is a wasteful number, since it uses less digits than its factorization.

648664122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219576 (or 219552 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 648664122240 in words is "six hundred forty-eight billion, six hundred sixty-four million, one hundred twenty-two thousand, two hundred forty".