9725688610560 has 2016 divisors, whose sum is σ = 38913950638080. Its totient is φ = 2313086533632.

The previous prime is 9725688610549. The next prime is 9725688610601. The reversal of 9725688610560 is 650168865279.

9725688610560 is a `hidden beast` number, since 9 + 7 + 2 + 5 + 6 + 8 + 8 + 61 + 0 + 560 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 76580225217 + ... + 76580225343.

It is an arithmetic number, because the mean of its divisors is an integer number (19302554880).

Almost surely, 2^{9725688610560} is an apocalyptic number.

9725688610560 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 9725688610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19456975319040).

9725688610560 is an abundant number, since it is smaller than the sum of its proper divisors (29188262027520).

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

9725688610560 is a wasteful number, since it uses less digits than its factorization.

9725688610560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 9725688610560 in words is "nine trillion, seven hundred twenty-five billion, six hundred eighty-eight million, six hundred ten thousand, five hundred sixty".