16627043664 has 720 divisors, whose sum is σ = 64313847936. Its totient is φ = 4064670720.

The previous prime is 16627043663. The next prime is 16627043669. The reversal of 16627043664 is 46634072661.

It is a happy number.

16627043664 is a `hidden beast` number, since 16 + 6 + 270 + 4 + 366 + 4 = 666.

16627043664 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 (16627043663) 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 143 ways as a sum of consecutive naturals, for example, 978061384 + ... + 978061400.

Almost surely, 2^16627043664 is an apocalyptic number.

16627043664 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 16627043664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32156923968).

16627043664 is an abundant number, since it is smaller than the sum of its proper divisors (47686804272).

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

16627043664 is an frugal number, since it uses more digits than its factorization.

16627043664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 16627043664 in words is "sixteen billion, six hundred twenty-seven million, forty-three thousand, six hundred sixty-four".