13427631360 has 1296 divisors, whose sum is σ = 59698699200. Its totient is φ = 2846638080.

The previous prime is 13427631313. The next prime is 13427631383. The reversal of 13427631360 is 6313672431.

13427631360 is a `hidden beast` number, since 13 + 4 + 2 + 7 + 631 + 3 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 706717431 + ... + 706717449.

Almost surely, 2^13427631360 is an apocalyptic number.

13427631360 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 13427631360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29849349600).

13427631360 is an abundant number, since it is smaller than the sum of its proper divisors (46271067840).

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

13427631360 is a wasteful number, since it uses less digits than its factorization.

13427631360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 13427631360 in words is "thirteen billion, four hundred twenty-seven million, six hundred thirty-one thousand, three hundred sixty".