6432132672 has 224 divisors, whose sum is σ = 21698508800. Its totient is φ = 1830283776.

The previous prime is 6432132661. The next prime is 6432132673. The reversal of 6432132672 is 2762312346.

6432132672 is a `hidden beast` number, since 6 + 4 + 321 + 326 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (6432132673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3422229 + ... + 3424107.

Almost surely, 2^6432132672 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 6432132672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10849254400).

6432132672 is an abundant number, since it is smaller than the sum of its proper divisors (15266376128).

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

6432132672 is a wasteful number, since it uses less digits than its factorization.

6432132672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2190 (or 2174 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 6432132672 is about 80200.5777535299. The cubic root of 6432132672 is about 1859.7375696348.

The spelling of 6432132672 in words is "six billion, four hundred thirty-two million, one hundred thirty-two thousand, six hundred seventy-two".