13673249280 has 320 divisors, whose sum is σ = 48795626880. Its totient is φ = 3629187072.

The previous prime is 13673249273. The next prime is 13673249297. The reversal of 13673249280 is 8294237631.

13673249280 is a `hidden beast` number, since 1 + 367 + 3 + 2 + 4 + 9 + 280 = 666.

13673249280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

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, 23293147 + ... + 23293733.

It is an arithmetic number, because the mean of its divisors is an integer number (152486334).

Almost surely, 2^13673249280 is an apocalyptic number.

13673249280 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 13673249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24397813440).

13673249280 is an abundant number, since it is smaller than the sum of its proper divisors (35122377600).

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

13673249280 is an equidigital number, since it uses as much as digits as its factorization.

13673249280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13673249280 in words is "thirteen billion, six hundred seventy-three million, two hundred forty-nine thousand, two hundred eighty".