16073623968 has 96 divisors (see below), whose sum is σ = 44066332800. Its totient is φ = 5120434176.

The previous prime is 16073623967. The next prime is 16073623999. The reversal of 16073623968 is 86932637061.

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

It is a super-2 number, since 2×16073623968² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16073623968.

It is not an unprimeable number, because it can be changed into a prime (16073623963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3285268 + ... + 3290156.

It is an arithmetic number, because the mean of its divisors is an integer number (459024300).

Almost surely, 2^16073623968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16073623968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22033166400).

16073623968 is an abundant number, since it is smaller than the sum of its proper divisors (27992708832).

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

16073623968 is a wasteful number, since it uses less digits than its factorization.

16073623968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6414 (or 6406 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 51.

The spelling of 16073623968 in words is "sixteen billion, seventy-three million, six hundred twenty-three thousand, nine hundred sixty-eight".