13767691400 has 96 divisors (see below), whose sum is σ = 34301867040. Its totient is φ = 5120578560.

The previous prime is 13767691393. The next prime is 13767691459. The reversal of 13767691400 is 419676731.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 257807 + ... + 306593.

It is an arithmetic number, because the mean of its divisors is an integer number (357311115).

Almost surely, 2^13767691400 is an apocalyptic number.

13767691400 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 13767691400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17150933520).

13767691400 is an abundant number, since it is smaller than the sum of its proper divisors (20534175640).

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

13767691400 is a wasteful number, since it uses less digits than its factorization.

13767691400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48903 (or 48894 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 44.

The spelling of 13767691400 in words is "thirteen billion, seven hundred sixty-seven million, six hundred ninety-one thousand, four hundred".