13752084672 has 168 divisors, whose sum is σ = 39896665952. Its totient is φ = 4528742400.

The previous prime is 13752084667. The next prime is 13752084707. The reversal of 13752084672 is 27648025731.

13752084672 is a `hidden beast` number, since 1 + 375 + 208 + 4 + 6 + 72 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21793797 + ... + 21794427.

Almost surely, 2^13752084672 is an apocalyptic number.

13752084672 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 13752084672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19948332976).

13752084672 is an abundant number, since it is smaller than the sum of its proper divisors (26144581280).

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

13752084672 is a wasteful number, since it uses less digits than its factorization.

13752084672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 13752084672 in words is "thirteen billion, seven hundred fifty-two million, eighty-four thousand, six hundred seventy-two".