16768437120 has 96 divisors (see below), whose sum is σ = 57903529320. Its totient is φ = 4471581696.

The previous prime is 16768437113. The next prime is 16768437131. The reversal of 16768437120 is 2173486761.

16768437120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1449834 + ... + 1461353.

Almost surely, 2^16768437120 is an apocalyptic number.

16768437120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16768437120 is an abundant number, since it is smaller than the sum of its proper divisors (41135092200).

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

16768437120 is a wasteful number, since it uses less digits than its factorization.

16768437120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2911212 (or 2911197 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 16768437120 in words is "sixteen billion, seven hundred sixty-eight million, four hundred thirty-seven thousand, one hundred twenty".