13727469600 has 1152 divisors, whose sum is σ = 58796236800. Its totient is φ = 3060633600.

The previous prime is 13727469593. The next prime is 13727469601. The reversal of 13727469600 is 696472731.

13727469600 is a `hidden beast` number, since 1 + 37 + 2 + 7 + 4 + 6 + 9 + 600 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13727469601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 165391159 + ... + 165391241.

It is an arithmetic number, because the mean of its divisors is an integer number (51038400).

Almost surely, 2^13727469600 is an apocalyptic number.

13727469600 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 13727469600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29398118400).

13727469600 is an abundant number, since it is smaller than the sum of its proper divisors (45068767200).

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

13727469600 is a wasteful number, since it uses less digits than its factorization.

13727469600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 13727469600 in words is "thirteen billion, seven hundred twenty-seven million, four hundred sixty-nine thousand, six hundred".