632642100032 has 112 divisors (see below), whose sum is σ = 1298947628160. Its totient is φ = 305482586112.

The previous prime is 632642100031. The next prime is 632642100059. The reversal of 632642100032 is 230001246236.

It is a junction number, because it is equal to n+sod(n) for n = 632642099968 and 632642100004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632642100031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308153918 + ... + 308155970.

It is an arithmetic number, because the mean of its divisors is an integer number (11597746680).

Almost surely, 2^632642100032 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 632642100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649473814080).

632642100032 is an abundant number, since it is smaller than the sum of its proper divisors (666305528128).

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

632642100032 is a wasteful number, since it uses less digits than its factorization.

632642100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3008 (or 2998 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 632642100032 its reverse (230001246236), we get a palindrome (862643346268).

The spelling of 632642100032 in words is "six hundred thirty-two billion, six hundred forty-two million, one hundred thousand, thirty-two".