14640337728 has 168 divisors, whose sum is σ = 44471798280. Its totient is φ = 4596695040.

The previous prime is 14640337727. The next prime is 14640337771. The reversal of 14640337728 is 82773304641.

14640337728 is a `hidden beast` number, since 146 + 403 + 37 + 72 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 280629504 + 14359708224 = 16752^2 + 119832^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14640337727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 674176 + ... + 695552.

It is an arithmetic number, because the mean of its divisors is an integer number (264713085).

Almost surely, 2^14640337728 is an apocalyptic number.

14640337728 is a gapful number since it is divisible by the number (18) 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 14640337728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22235899140).

14640337728 is an abundant number, since it is smaller than the sum of its proper divisors (29831460552).

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

14640337728 is a wasteful number, since it uses less digits than its factorization.

14640337728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21465 (or 21452 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 14640337728 in words is "fourteen billion, six hundred forty million, three hundred thirty-seven thousand, seven hundred twenty-eight".