13668695040 has 1056 divisors, whose sum is σ = 60217565184. Its totient is φ = 2601123840.

The previous prime is 13668695003. The next prime is 13668695041. The reversal of 13668695040 is 4059686631.

13668695040 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 (1056).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13668695041) 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 95 ways as a sum of consecutive naturals, for example, 107627457 + ... + 107627583.

Almost surely, 2^13668695040 is an apocalyptic number.

13668695040 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 13668695040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30108782592).

13668695040 is an abundant number, since it is smaller than the sum of its proper divisors (46548870144).

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

13668695040 is a wasteful number, since it uses less digits than its factorization.

13668695040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 13668695040 in words is "thirteen billion, six hundred sixty-eight million, six hundred ninety-five thousand, forty".