9638927360064 has 448 divisors, whose sum is σ = 29662202092800. Its totient is φ = 3066306969600.

The previous prime is 9638927360063. The next prime is 9638927360081. The reversal of 9638927360064 is 4600637298369.

It is a junction number, because it is equal to n+sod(n) for n = 9638927359983 and 9638927360010.

It is not an unprimeable number, because it can be changed into a prime (9638927360063) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1478133124 + ... + 1478139644.

Almost surely, 2^{9638927360064} 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 9638927360064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14831101046400).

9638927360064 is an abundant number, since it is smaller than the sum of its proper divisors (20023274732736).

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

9638927360064 is a wasteful number, since it uses less digits than its factorization.

9638927360064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7019 (or 7003 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 9638927360064 in words is "nine trillion, six hundred thirty-eight billion, nine hundred twenty-seven million, three hundred sixty thousand, sixty-four".