16706742864 has 240 divisors, whose sum is σ = 53177935680. Its totient is φ = 4493905920.

The previous prime is 16706742863. The next prime is 16706742869. The reversal of 16706742864 is 46824760761.

16706742864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16706742863) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7729944 + ... + 7732104.

It is an arithmetic number, because the mean of its divisors is an integer number (221574732).

Almost surely, 2^16706742864 is an apocalyptic number.

16706742864 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 16706742864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26588967840).

16706742864 is an abundant number, since it is smaller than the sum of its proper divisors (36471192816).

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

16706742864 is a wasteful number, since it uses less digits than its factorization.

16706742864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2365 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 16706742864 in words is "sixteen billion, seven hundred six million, seven hundred forty-two thousand, eight hundred sixty-four".