14783408640 has 960 divisors, whose sum is σ = 68850093312. Its totient is φ = 2831155200.

The previous prime is 14783408639. The next prime is 14783408657. The reversal of 14783408640 is 4680438741.

It is a tau number, because it is divible by the number of its divisors (960).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23062720 + ... + 23063360.

Almost surely, 2^14783408640 is an apocalyptic number.

14783408640 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 14783408640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34425046656).

14783408640 is an abundant number, since it is smaller than the sum of its proper divisors (54066684672).

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

14783408640 is a wasteful number, since it uses less digits than its factorization.

14783408640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 682 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 14783408640 in words is "fourteen billion, seven hundred eighty-three million, four hundred eight thousand, six hundred forty".