643120632 has 192 divisors, whose sum is σ = 2184399360. Its totient is φ = 166060800.

The previous prime is 643120589. The next prime is 643120649. The reversal of 643120632 is 236021346.

643120632 is a `hidden beast` number, since 6 + 4 + 3 + 1 + 20 + 632 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 643120596 and 643120605.

It is a congruent number.

It is an unprimeable number.

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, 1723998 + ... + 1724370.

It is an arithmetic number, because the mean of its divisors is an integer number (11377080).

Almost surely, 2^643120632 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 643120632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1092199680).

643120632 is an abundant number, since it is smaller than the sum of its proper divisors (1541278728).

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

643120632 is a wasteful number, since it uses less digits than its factorization.

643120632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 643120632 is about 25359.8231855035. The cubic root of 643120632 is about 863.1722718318.

Adding to 643120632 its reverse (236021346), we get a palindrome (879141978).

The spelling of 643120632 in words is "six hundred forty-three million, one hundred twenty thousand, six hundred thirty-two".