16764738288192 has 1344 divisors, whose sum is σ = 56961446330880. Its totient is φ = 4859079819264.

The previous prime is 16764738288167. The next prime is 16764738288223. The reversal of 16764738288192 is 29188283746761.

It is a happy number.

16764738288192 is a `hidden beast` number, since 1 + 6 + 76 + 473 + 8 + 2 + 8 + 81 + 9 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16764738288192.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 60522520758 + ... + 60522521034.

It is an arithmetic number, because the mean of its divisors is an integer number (42382028520).

Almost surely, 2^{16764738288192} is an apocalyptic number.

16764738288192 is a gapful number since it is divisible by the number (12) 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 16764738288192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28480723165440).

16764738288192 is an abundant number, since it is smaller than the sum of its proper divisors (40196708042688).

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

16764738288192 is a wasteful number, since it uses less digits than its factorization.

16764738288192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 628 counting only the distinct ones).

The product of its digits is 390168576, while the sum is 72.

The spelling of 16764738288192 in words is "sixteen trillion, seven hundred sixty-four billion, seven hundred thirty-eight million, two hundred eighty-eight thousand, one hundred ninety-two".