14450768640 has 648 divisors, whose sum is σ = 62850007584. Its totient is φ = 3000729600.

The previous prime is 14450768639. The next prime is 14450768653. The reversal of 14450768640 is 4686705441.

14450768640 is a `hidden beast` number, since 1 + 44 + 507 + 68 + 6 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9756700 + ... + 9758180.

Almost surely, 2^14450768640 is an apocalyptic number.

14450768640 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 14450768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31425003792).

14450768640 is an abundant number, since it is smaller than the sum of its proper divisors (48399238944).

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

14450768640 is a wasteful number, since it uses less digits than its factorization.

14450768640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1537 (or 1509 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 14450768640 in words is "fourteen billion, four hundred fifty million, seven hundred sixty-eight thousand, six hundred forty".