16007000768 has 112 divisors (see below), whose sum is σ = 35105059584. Its totient is φ = 7181399040.

The previous prime is 16007000761. The next prime is 16007000771. The reversal of 16007000768 is 86700070061.

16007000768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (16007000761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20338871 + ... + 20339657.

It is an arithmetic number, because the mean of its divisors is an integer number (313438032).

Almost surely, 2^16007000768 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 16007000768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17552529792).

16007000768 is an abundant number, since it is smaller than the sum of its proper divisors (19098058816).

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

16007000768 is a wasteful number, since it uses less digits than its factorization.

16007000768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 35.

The spelling of 16007000768 in words is "sixteen billion, seven million, seven hundred sixty-eight", and thus it is an aban number.