16768132960224 has 96 divisors (see below), whose sum is σ = 46336509838080. Its totient is φ = 5294798641152.

The previous prime is 16768132960217. The next prime is 16768132960237. The reversal of 16768132960224 is 42206923186761.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×16768132960224² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24203997 + ... + 24887139.

It is an arithmetic number, because the mean of its divisors is an integer number (482671977480).

Almost surely, 2^{16768132960224} is an apocalyptic number.

It is an amenable number.

16768132960224 is an abundant number, since it is smaller than the sum of its proper divisors (29568376877856).

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

16768132960224 is a wasteful number, since it uses less digits than its factorization.

16768132960224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696632 (or 696624 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 16768132960224 in words is "sixteen trillion, seven hundred sixty-eight billion, one hundred thirty-two million, nine hundred sixty thousand, two hundred twenty-four".