9657069256640 has 224 divisors, whose sum is σ = 25630119204480. Its totient is φ = 3441207361536.

The previous prime is 9657069256609. The next prime is 9657069256657. The reversal of 9657069256640 is 466529607569.

9657069256640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (65).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 292294202 + ... + 292327238.

It is an arithmetic number, because the mean of its divisors is an integer number (114420175020).

Almost surely, 2^{9657069256640} 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 9657069256640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12815059602240).

9657069256640 is an abundant number, since it is smaller than the sum of its proper divisors (15973049947840).

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

9657069256640 is a wasteful number, since it uses less digits than its factorization.

9657069256640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35519 (or 35509 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 65.

The spelling of 9657069256640 in words is "nine trillion, six hundred fifty-seven billion, sixty-nine million, two hundred fifty-six thousand, six hundred forty".