32641632144 has 120 divisors (see below), whose sum is σ = 99712864992. Its totient is φ = 9885749760.

The previous prime is 32641632139. The next prime is 32641632157. The reversal of 32641632144 is 44123614623.

32641632144 is a `hidden beast` number, since 3 + 2 + 6 + 4 + 1 + 632 + 14 + 4 = 666.

It is a super-2 number, since 2×32641632144² (a number of 22 digits) contains 22 as substring.

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 a junction number, because it is equal to n+sod(n) for n = 32641632099 and 32641632108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3380187 + ... + 3389829.

Almost surely, 2^32641632144 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 32641632144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49856432496).

32641632144 is an abundant number, since it is smaller than the sum of its proper divisors (67071232848).

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

32641632144 is a wasteful number, since it uses less digits than its factorization.

32641632144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11805 (or 11796 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The spelling of 32641632144 in words is "thirty-two billion, six hundred forty-one million, six hundred thirty-two thousand, one hundred forty-four".