13827342672 has 240 divisors, whose sum is σ = 46931329536. Its totient is φ = 3742848000.

The previous prime is 13827342671. The next prime is 13827342679. The reversal of 13827342672 is 27624372831.

13827342672 is a `hidden beast` number, since 1 + 382 + 7 + 3 + 4 + 267 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13827342671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 627522 + ... + 649182.

Almost surely, 2^13827342672 is an apocalyptic number.

13827342672 is a gapful number since it is divisible by the number (12) 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 13827342672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23465664768).

13827342672 is an abundant number, since it is smaller than the sum of its proper divisors (33103986864).

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

13827342672 is a wasteful number, since it uses less digits than its factorization.

13827342672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21730 (or 21721 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 13827342672 in words is "thirteen billion, eight hundred twenty-seven million, three hundred forty-two thousand, six hundred seventy-two".