9725709464064 has 320 divisors, whose sum is σ = 31836191460480. Its totient is φ = 2906808975360.

The previous prime is 9725709464041. The next prime is 9725709464069. The reversal of 9725709464064 is 4604649075279.

It is a happy number.

9725709464064 is a `hidden beast` number, since 9 + 72 + 5 + 70 + 94 + 6 + 406 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 9725709463992 and 9725709464010.

It is not an unprimeable number, because it can be changed into a prime (9725709464069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10662604 + ... + 11538740.

It is an arithmetic number, because the mean of its divisors is an integer number (99488098314).

Almost surely, 2^{9725709464064} 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 9725709464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15918095730240).

9725709464064 is an abundant number, since it is smaller than the sum of its proper divisors (22110481996416).

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

9725709464064 is a wasteful number, since it uses less digits than its factorization.

9725709464064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 876248 (or 876226 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 9725709464064 in words is "nine trillion, seven hundred twenty-five billion, seven hundred nine million, four hundred sixty-four thousand, sixty-four".