9638278666240 has 384 divisors, whose sum is σ = 27745340313600. Its totient is φ = 3143708835840.

The previous prime is 9638278666231. The next prime is 9638278666351. The reversal of 9638278666240 is 426668728369.

It is a super-3 number, since 3×9638278666240³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131065962 + ... + 131139478.

It is an arithmetic number, because the mean of its divisors is an integer number (72253490400).

Almost surely, 2^{9638278666240} 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 9638278666240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13872670156800).

9638278666240 is an abundant number, since it is smaller than the sum of its proper divisors (18107061647360).

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

9638278666240 is a wasteful number, since it uses less digits than its factorization.

9638278666240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73641 (or 73621 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 67.

The spelling of 9638278666240 in words is "nine trillion, six hundred thirty-eight billion, two hundred seventy-eight million, six hundred sixty-six thousand, two hundred forty".