16742544768 has 96 divisors (see below), whose sum is σ = 48357098400. Its totient is φ = 5560151040.

The previous prime is 16742544761. The next prime is 16742544787. The reversal of 16742544768 is 86744524761.

16742544768 is a `hidden beast` number, since 167 + 4 + 2 + 5 + 4 + 476 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16742544761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 285378 + ... + 339006.

It is an arithmetic number, because the mean of its divisors is an integer number (503719775).

Almost surely, 2^16742544768 is an apocalyptic number.

16742544768 is a gapful number since it is divisible by the number (18) 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 16742544768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24178549200).

16742544768 is an abundant number, since it is smaller than the sum of its proper divisors (31614553632).

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

16742544768 is a wasteful number, since it uses less digits than its factorization.

16742544768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53920 (or 53905 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

It can be divided in two parts, 1 and 6742544768, that added together give a square (6742544769 = 82113²).

The spelling of 16742544768 in words is "sixteen billion, seven hundred forty-two million, five hundred forty-four thousand, seven hundred sixty-eight".