9689542686720 has 3072 divisors, whose sum is σ = 42268262400000. Its totient is φ = 2081111408640.

The previous prime is 9689542686713. The next prime is 9689542686779. The reversal of 9689542686720 is 276862459869.

It is a happy number.

9689542686720 is a `hidden beast` number, since 9 + 6 + 8 + 9 + 542 + 6 + 8 + 6 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 48691169181 + ... + 48691169379.

It is an arithmetic number, because the mean of its divisors is an integer number (13759200000).

Almost surely, 2^{9689542686720} is an apocalyptic number.

9689542686720 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 9689542686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21134131200000).

9689542686720 is an abundant number, since it is smaller than the sum of its proper divisors (32578719713280).

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

9689542686720 is a wasteful number, since it uses less digits than its factorization.

9689542686720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 9689542686720 in words is "nine trillion, six hundred eighty-nine billion, five hundred forty-two million, six hundred eighty-six thousand, seven hundred twenty".