16743075840 has 260 divisors, whose sum is σ = 60025646604. Its totient is φ = 4464377856.

The previous prime is 16743075827. The next prime is 16743075841. The reversal of 16743075840 is 4857034761.

16743075840 is a `hidden beast` number, since 1 + 67 + 4 + 3 + 0 + 7 + 584 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7267221504 + 9475854336 = 85248^2 + 97344^2 .

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

It is not an unprimeable number, because it can be changed into a prime (16743075841) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1653834 + ... + 1663926.

Almost surely, 2^16743075840 is an apocalyptic number.

16743075840 is a gapful number since it is divisible by the number (10) 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 16743075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30012823302).

16743075840 is an abundant number, since it is smaller than the sum of its proper divisors (43282570764).

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

16743075840 is an equidigital number, since it uses as much as digits as its factorization.

16743075840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10134 (or 10103 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 16743075840 in words is "sixteen billion, seven hundred forty-three million, seventy-five thousand, eight hundred forty".