21132732672 has 432 divisors, whose sum is σ = 67854259200. Its totient is φ = 6295449600.

The previous prime is 21132732659. The next prime is 21132732679. The reversal of 21132732672 is 27623723112.

21132732672 is a `hidden beast` number, since 2 + 1 + 1 + 327 + 326 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (21132732679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139951797 + ... + 139951947.

Almost surely, 2^21132732672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21132732672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33927129600).

21132732672 is an abundant number, since it is smaller than the sum of its proper divisors (46721526528).

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

21132732672 is a wasteful number, since it uses less digits than its factorization.

21132732672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 337 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The spelling of 21132732672 in words is "twenty-one billion, one hundred thirty-two million, seven hundred thirty-two thousand, six hundred seventy-two".