14327976960 has 528 divisors, whose sum is σ = 56560083840. Its totient is φ = 3319726080.

The previous prime is 14327976917. The next prime is 14327976979. The reversal of 14327976960 is 6967972341.

It is a happy number.

14327976960 is a `hidden beast` number, since 1 + 432 + 7 + 97 + 69 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a junction number, because it is equal to n+sod(n) for n = 14327976897 and 14327976906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11657626 + ... + 11658854.

Almost surely, 2^14327976960 is an apocalyptic number.

14327976960 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 14327976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28280041920).

14327976960 is an abundant number, since it is smaller than the sum of its proper divisors (42232106880).

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

14327976960 is a wasteful number, since it uses less digits than its factorization.

14327976960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1273 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The spelling of 14327976960 in words is "fourteen billion, three hundred twenty-seven million, nine hundred seventy-six thousand, nine hundred sixty".