14640384000 has 384 divisors, whose sum is σ = 53170266240. Its totient is φ = 3547136000.

The previous prime is 14640383999. The next prime is 14640384001. The reversal of 14640384000 is 48304641.

It is an interprime number because it is at equal distance from previous prime (14640383999) and next prime (14640384001).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (14640384001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8447134 + ... + 8448866.

It is an arithmetic number, because the mean of its divisors is an integer number (138464235).

Almost surely, 2^14640384000 is an apocalyptic number.

14640384000 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 14640384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26585133120).

14640384000 is an abundant number, since it is smaller than the sum of its proper divisors (38529882240).

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

14640384000 is a wasteful number, since it uses less digits than its factorization.

14640384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784 (or 1754 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 14640384000 its reverse (48304641), we get a palindrome (14688688641).

The spelling of 14640384000 in words is "fourteen billion, six hundred forty million, three hundred eighty-four thousand".