14477659680 has 768 divisors, whose sum is σ = 56100667392. Its totient is φ = 3122380800.

The previous prime is 14477659667. The next prime is 14477659681. The reversal of 14477659680 is 8695677441.

It is a self number, because there is not a number n which added to its sum of digits gives 14477659680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14477659681) 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, 336689739 + ... + 336689781.

It is an arithmetic number, because the mean of its divisors is an integer number (73047744).

Almost surely, 2^14477659680 is an apocalyptic number.

14477659680 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 14477659680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28050333696).

14477659680 is an abundant number, since it is smaller than the sum of its proper divisors (41623007712).

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

14477659680 is a wasteful number, since it uses less digits than its factorization.

14477659680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 57.

The spelling of 14477659680 in words is "fourteen billion, four hundred seventy-seven million, six hundred fifty-nine thousand, six hundred eighty".