9638510768640 has 320 divisors, whose sum is σ = 36870396393600. Its totient is φ = 2372556275712.

The previous prime is 9638510768561. The next prime is 9638510768651. The reversal of 9638510768640 is 468670158369.

9638510768640 is a `hidden beast` number, since 9 + 6 + 3 + 8 + 510 + 76 + 8 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4464750 + ... + 6261869.

It is an arithmetic number, because the mean of its divisors is an integer number (115219988730).

Almost surely, 2^{9638510768640} is an apocalyptic number.

9638510768640 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

9638510768640 is an abundant number, since it is smaller than the sum of its proper divisors (27231885624960).

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

9638510768640 is a wasteful number, since it uses less digits than its factorization.

9638510768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10726664 (or 10726642 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 9638510768640 in words is "nine trillion, six hundred thirty-eight billion, five hundred ten million, seven hundred sixty-eight thousand, six hundred forty".