16779667423680 has 1344 divisors, whose sum is σ = 73853088768000. Its totient is φ = 3564844867584.

The previous prime is 16779667423639. The next prime is 16779667423691. The reversal of 16779667423680 is 8632476697761.

16779667423680 is a `hidden beast` number, since 1 + 67 + 7 + 9 + 6 + 67 + 423 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 = 16779667423599 and 16779667423608.

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 191 ways as a sum of consecutive naturals, for example, 426303841 + ... + 426343199.

Almost surely, 2^{16779667423680} is an apocalyptic number.

16779667423680 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 16779667423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36926544384000).

16779667423680 is an abundant number, since it is smaller than the sum of its proper divisors (57073421344320).

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

16779667423680 is a wasteful number, since it uses less digits than its factorization.

16779667423680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39471 (or 39448 counting only the distinct ones).

The product of its (nonzero) digits is 768144384, while the sum is 72.

The spelling of 16779667423680 in words is "sixteen trillion, seven hundred seventy-nine billion, six hundred sixty-seven million, four hundred twenty-three thousand, six hundred eighty".