9638406500 has 48 divisors (see below), whose sum is σ = 21071786736. Its totient is φ = 3851424000.

The previous prime is 9638406493. The next prime is 9638406539. The reversal of 9638406500 is 56048369.

It can be written as a sum of positive squares in 8 ways, for example, as 2618982976 + 7019423524 = 51176^2 + 83782^2 .

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 15 ways as a sum of consecutive naturals, for example, 507170 + ... + 525830.

It is an arithmetic number, because the mean of its divisors is an integer number (438995557).

Almost surely, 2^9638406500 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 9638406500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10535893368).

9638406500 is an abundant number, since it is smaller than the sum of its proper divisors (11433380236).

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

9638406500 is a wasteful number, since it uses less digits than its factorization.

9638406500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19713 (or 19701 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 41.

The square root of 9638406500 is about 98175.3864265377. The cubic root of 9638406500 is about 2128.1476029794.

The spelling of 9638406500 in words is "nine billion, six hundred thirty-eight million, four hundred six thousand, five hundred".