13542640967 has 8 divisors (see below), whose sum is σ = 13710668160. Its totient is φ = 13374729720.

The previous prime is 13542640949. The next prime is 13542640999. The reversal of 13542640967 is 76904624531.

13542640967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 13542640967 - 2²⁴ = 13525863751 is a prime.

It is a super-3 number, since 3×13542640967³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13542640907) 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 7 ways as a sum of consecutive naturals, for example, 219134 + ... + 274052.

It is an arithmetic number, because the mean of its divisors is an integer number (1713833520).

Almost surely, 2^13542640967 is an apocalyptic number.

13542640967 is a deficient number, since it is larger than the sum of its proper divisors (168027193).

13542640967 is an equidigital number, since it uses as much as digits as its factorization.

13542640967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57973.

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 13542640967 in words is "thirteen billion, five hundred forty-two million, six hundred forty thousand, nine hundred sixty-seven".