13784953680 has 160 divisors (see below), whose sum is σ = 48015676800. Its totient is φ = 3634633728.

The previous prime is 13784953673. The next prime is 13784953681. The reversal of 13784953680 is 8635948731.

13784953680 is a `hidden beast` number, since 1 + 3 + 78 + 495 + 3 + 6 + 80 = 666.

13784953680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13784953681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156387 + ... + 228093.

It is an arithmetic number, because the mean of its divisors is an integer number (300097980).

Almost surely, 2^13784953680 is an apocalyptic number.

13784953680 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 13784953680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24007838400).

13784953680 is an abundant number, since it is smaller than the sum of its proper divisors (34230723120).

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

13784953680 is a wasteful number, since it uses less digits than its factorization.

13784953680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71818 (or 71806 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 13784953680 in words is "thirteen billion, seven hundred eighty-four million, nine hundred fifty-three thousand, six hundred eighty".