9681527717940 has 288 divisors, whose sum is σ = 30532268777472. Its totient is φ = 2288654784000.

The previous prime is 9681527717903. The next prime is 9681527717977. The reversal of 9681527717940 is 497177251869.

It is an interprime number because it is at equal distance from previous prime (9681527717903) and next prime (9681527717977).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41060985 + ... + 41296095.

It is an arithmetic number, because the mean of its divisors is an integer number (106014822144).

Almost surely, 2^{9681527717940} 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 9681527717940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15266134388736).

9681527717940 is an abundant number, since it is smaller than the sum of its proper divisors (20850741059532).

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

9681527717940 is a wasteful number, since it uses less digits than its factorization.

9681527717940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235311 (or 235296 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 66.

The spelling of 9681527717940 in words is "nine trillion, six hundred eighty-one billion, five hundred twenty-seven million, seven hundred seventeen thousand, nine hundred forty".