16742928384 has 936 divisors, whose sum is σ = 65259597312. Its totient is φ = 4087480320.

The previous prime is 16742928347. The next prime is 16742928413. The reversal of 16742928384 is 48382924761.

16742928384 is a `hidden beast` number, since 1 + 67 + 429 + 2 + 83 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (936).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 16742928384.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 540094449 + ... + 540094479.

It is an arithmetic number, because the mean of its divisors is an integer number (69721792).

Almost surely, 2^16742928384 is an apocalyptic number.

16742928384 is a gapful number since it is divisible by the number (14) 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 16742928384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32629798656).

16742928384 is an abundant number, since it is smaller than the sum of its proper divisors (48516668928).

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

16742928384 is a wasteful number, since it uses less digits than its factorization.

16742928384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 79 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 16742928384 in words is "sixteen billion, seven hundred forty-two million, nine hundred twenty-eight thousand, three hundred eighty-four".