14766739680 has 768 divisors, whose sum is σ = 62705664000. Its totient is φ = 2829066240.

The previous prime is 14766739619. The next prime is 14766739681. The reversal of 14766739680 is 8693766741.

It is a self number, because there is not a number n which added to its sum of digits gives 14766739680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14766739681) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 24652021 + ... + 24652619.

It is an arithmetic number, because the mean of its divisors is an integer number (81648000).

Almost surely, 2^14766739680 is an apocalyptic number.

14766739680 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 14766739680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31352832000).

14766739680 is an abundant number, since it is smaller than the sum of its proper divisors (47938924320).

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

14766739680 is a wasteful number, since it uses less digits than its factorization.

14766739680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 57.

The spelling of 14766739680 in words is "fourteen billion, seven hundred sixty-six million, seven hundred thirty-nine thousand, six hundred eighty".