9643138686720 has 1728 divisors, whose sum is σ = 45564696253440. Its totient is φ = 1820786688000.

The previous prime is 9643138686689. The next prime is 9643138686733. The reversal of 9643138686720 is 276868313469.

9643138686720 is a `hidden beast` number, since 96 + 431 + 38 + 6 + 8 + 67 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 437299695 + ... + 437321745.

It is an arithmetic number, because the mean of its divisors is an integer number (26368458480).

Almost surely, 2^{9643138686720} is an apocalyptic number.

9643138686720 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9643138686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22782348126720).

9643138686720 is an abundant number, since it is smaller than the sum of its proper divisors (35921557566720).

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

9643138686720 is a wasteful number, since it uses less digits than its factorization.

9643138686720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22142 (or 22125 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 9643138686720 in words is "nine trillion, six hundred forty-three billion, one hundred thirty-eight million, six hundred eighty-six thousand, seven hundred twenty".