42633356500 has 240 divisors, whose sum is σ = 115067993040. Its totient is φ = 13750732800.

The previous prime is 42633356419. The next prime is 42633356503. The reversal of 42633356500 is 565333624.

42633356500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2429898436 + 40203458064 = 49294^2 + 200508^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 42633356500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42633356503) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20407456 + ... + 20409544.

It is an arithmetic number, because the mean of its divisors is an integer number (479449971).

Almost surely, 2^42633356500 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 42633356500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57533996520).

42633356500 is an abundant number, since it is smaller than the sum of its proper divisors (72434636540).

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

42633356500 is a wasteful number, since it uses less digits than its factorization.

42633356500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 37.

The spelling of 42633356500 in words is "forty-two billion, six hundred thirty-three million, three hundred fifty-six thousand, five hundred".