16073688672 has 144 divisors (see below), whose sum is σ = 47023441920. Its totient is φ = 5205563136.

The previous prime is 16073688671. The next prime is 16073688691. The reversal of 16073688672 is 27688637061.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×16073688672² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16073688671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1877233 + ... + 1885775.

It is an arithmetic number, because the mean of its divisors is an integer number (326551680).

Almost surely, 2^16073688672 is an apocalyptic number.

16073688672 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 16073688672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23511720960).

16073688672 is an abundant number, since it is smaller than the sum of its proper divisors (30949753248).

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

16073688672 is a wasteful number, since it uses less digits than its factorization.

16073688672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8745 (or 8734 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 16073688672 in words is "sixteen billion, seventy-three million, six hundred eighty-eight thousand, six hundred seventy-two".