16689956774400 has 7680 divisors, whose sum is σ = 88381543219200. Its totient is φ = 2981206425600.

The previous prime is 16689956774357. The next prime is 16689956774503. The reversal of 16689956774400 is 447765998661.

It is a happy number.

16689956774400 is a `hidden beast` number, since 1 + 6 + 6 + 8 + 9 + 95 + 67 + 74 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (7680).

It is a Harshad number since it is a multiple of its sum of digits (72).

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 767 ways as a sum of consecutive naturals, for example, 314904844774 + ... + 314904844826.

It is an arithmetic number, because the mean of its divisors is an integer number (11508013440).

Almost surely, 2^{16689956774400} is an apocalyptic number.

16689956774400 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 16689956774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44190771609600).

16689956774400 is an abundant number, since it is smaller than the sum of its proper divisors (71691586444800).

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

16689956774400 is a wasteful number, since it uses less digits than its factorization.

16689956774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 16689956774400 in words is "sixteen trillion, six hundred eighty-nine billion, nine hundred fifty-six million, seven hundred seventy-four thousand, four hundred".