681103277822880 has 648 divisors, whose sum is σ = 2615566758710724. Its totient is φ = 161275964129280.

The previous prime is 681103277822843. The next prime is 681103277822887. The reversal of 681103277822880 is 88228772301186.

681103277822880 is a `hidden beast` number, since 6 + 8 + 1 + 1 + 0 + 3 + 277 + 82 + 288 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 675501100083216 + 5602177739664 = 25990404^2 + 2366892^2 .

It is a super-2 number, since 2×681103277822880² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (681103277822887) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 321112704 + ... + 323226816.

Almost surely, 2^{681103277822880} is an apocalyptic number.

681103277822880 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 681103277822880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307783379355362).

681103277822880 is an abundant number, since it is smaller than the sum of its proper divisors (1934463480887844).

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

681103277822880 is a wasteful number, since it uses less digits than its factorization.

681103277822880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114242 (or 2114177 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 63.

The spelling of 681103277822880 in words is "six hundred eighty-one trillion, one hundred three billion, two hundred seventy-seven million, eight hundred twenty-two thousand, eight hundred eighty".