1768921280064 has 189 divisors, whose sum is σ = 5118039442971. Its totient is φ = 584139513600.

The previous prime is 1768921280059. The next prime is 1768921280101. The reversal of 1768921280064 is 4600821298671.

It is a happy number.

The square root of 1768921280064 is 1330008.

It is a perfect power (a square), and thus also a powerful 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 26 ways as a sum of consecutive naturals, for example, 4819948809 + ... + 4819949175.

Almost surely, 2^{1768921280064} is an apocalyptic number.

1768921280064 is the 1330008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1768921280064

1768921280064 is an abundant number, since it is smaller than the sum of its proper divisors (3349118162907).

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

1768921280064 is an frugal number, since it uses more digits than its factorization.

1768921280064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1768921280064 in words is "one trillion, seven hundred sixty-eight billion, nine hundred twenty-one million, two hundred eighty thousand, sixty-four".