16776668263680 has 720 divisors, whose sum is σ = 68450576405904. Its totient is φ = 3886716026880.

The previous prime is 16776668263679. The next prime is 16776668263717. The reversal of 16776668263680 is 8636286667761.

It can be written as a sum of positive squares in 8 ways, for example, as 905177182464 + 15871491081216 = 951408^2 + 3983904^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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 = 16776668263599 and 16776668263608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22547190 + ... + 23279370.

Almost surely, 2^{16776668263680} is an apocalyptic number.

16776668263680 is a gapful number since it is divisible by the number (10) 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 16776668263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34225288202952).

16776668263680 is an abundant number, since it is smaller than the sum of its proper divisors (51673908142224).

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

16776668263680 is a wasteful number, since it uses less digits than its factorization.

16776668263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732244 (or 732221 counting only the distinct ones).

The product of its (nonzero) digits is 877879296, while the sum is 72.

The spelling of 16776668263680 in words is "sixteen trillion, seven hundred seventy-six billion, six hundred sixty-eight million, two hundred sixty-three thousand, six hundred eighty".