14742057680 has 160 divisors (see below), whose sum is σ = 40352774400. Its totient is φ = 5006184960.

The previous prime is 14742057679. The next prime is 14742057689. The reversal of 14742057680 is 8675024741.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14742057689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2933570 + ... + 2938590.

It is an arithmetic number, because the mean of its divisors is an integer number (252204840).

Almost surely, 2^14742057680 is an apocalyptic number.

14742057680 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 14742057680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20176387200).

14742057680 is an abundant number, since it is smaller than the sum of its proper divisors (25610716720).

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

14742057680 is a wasteful number, since it uses less digits than its factorization.

14742057680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5162 (or 5142 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 44.

The spelling of 14742057680 in words is "fourteen billion, seven hundred forty-two million, fifty-seven thousand, six hundred eighty".