16718343840 has 768 divisors, whose sum is σ = 66624768000. Its totient is φ = 3880673280.

The previous prime is 16718343823. The next prime is 16718343841. The reversal of 16718343840 is 4834381761.

16718343840 is a `hidden beast` number, since 167 + 18 + 3 + 438 + 40 = 666.

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 (16718343841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 187846516 + ... + 187846604.

It is an arithmetic number, because the mean of its divisors is an integer number (86751000).

Almost surely, 2^16718343840 is an apocalyptic number.

16718343840 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 16718343840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33312384000).

16718343840 is an abundant number, since it is smaller than the sum of its proper divisors (49906424160).

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

16718343840 is a wasteful number, since it uses less digits than its factorization.

16718343840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 16718343840 in words is "sixteen billion, seven hundred eighteen million, three hundred forty-three thousand, eight hundred forty".