13824079632 has 180 divisors, whose sum is σ = 43516384912. Its totient is φ = 4091472000.

The previous prime is 13824079627. The next prime is 13824079651. The reversal of 13824079632 is 23697042831.

13824079632 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 4 + 0 + 7 + 9 + 632 = 666.

It is a super-2 number, since 2×13824079632² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 740007 + ... + 758457.

Almost surely, 2^13824079632 is an apocalyptic number.

13824079632 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 13824079632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21758192456).

13824079632 is an abundant number, since it is smaller than the sum of its proper divisors (29692305280).

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

13824079632 is a wasteful number, since it uses less digits than its factorization.

13824079632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18530 (or 18510 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13824079632 in words is "thirteen billion, eight hundred twenty-four million, seventy-nine thousand, six hundred thirty-two".