648556673024880 has 1120 divisors, whose sum is σ = 2359849426773696. Its totient is φ = 165541113593856.

The previous prime is 648556673024863. The next prime is 648556673024929. The reversal of 648556673024880 is 88420376655846.

648556673024880 is a `hidden beast` number, since 6 + 4 + 8 + 5 + 56 + 67 + 30 + 2 + 488 + 0 = 666.

It is a super-2 number, since 2×648556673024880² (a number of 30 digits) contains 22 as substring.

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 = 648556673024799 and 648556673024808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 134639124232 + ... + 134639129048.

Almost surely, 2^{648556673024880} is an apocalyptic number.

648556673024880 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 648556673024880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179924713386848).

648556673024880 is an abundant number, since it is smaller than the sum of its proper divisors (1711292753748816).

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

648556673024880 is a wasteful number, since it uses less digits than its factorization.

648556673024880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957 (or 5936 counting only the distinct ones).

The product of its (nonzero) digits is 1857945600, while the sum is 72.

The spelling of 648556673024880 in words is "six hundred forty-eight trillion, five hundred fifty-six billion, six hundred seventy-three million, twenty-four thousand, eight hundred eighty".