1768224826368 has 2112 divisors, whose sum is σ = 7370489118720. Its totient is φ = 408482611200.

The previous prime is 1768224826351. The next prime is 1768224826397. The reversal of 1768224826368 is 8636284228671.

1768224826368 is a `hidden beast` number, since 1 + 7 + 6 + 8 + 2 + 248 + 26 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7721505678 + ... + 7721505906.

Almost surely, 2^{1768224826368} is an apocalyptic number.

1768224826368 is a gapful number since it is divisible by the number (18) 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 1768224826368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685244559360).

1768224826368 is an abundant number, since it is smaller than the sum of its proper divisors (5602264292352).

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

1768224826368 is a wasteful number, since it uses less digits than its factorization.

1768224826368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 296 counting only the distinct ones).

The product of its digits is 74317824, while the sum is 63.

The spelling of 1768224826368 in words is "one trillion, seven hundred sixty-eight billion, two hundred twenty-four million, eight hundred twenty-six thousand, three hundred sixty-eight".