9659557440 has 672 divisors, whose sum is σ = 38787141120. Its totient is φ = 2185740288.

The previous prime is 9659557399. The next prime is 9659557447. The reversal of 9659557440 is 447559569.

9659557440 is a `hidden beast` number, since 9 + 6 + 595 + 5 + 7 + 4 + 40 = 666.

It is not an unprimeable number, because it can be changed into a prime (9659557447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26320137 + ... + 26320503.

It is an arithmetic number, because the mean of its divisors is an integer number (57718960).

Almost surely, 2^9659557440 is an apocalyptic number.

9659557440 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 9659557440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19393570560).

9659557440 is an abundant number, since it is smaller than the sum of its proper divisors (29127583680).

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

9659557440 is a wasteful number, since it uses less digits than its factorization.

9659557440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The square root of 9659557440 is about 98283.0475717964. The cubic root of 9659557440 is about 2129.7031656711.

The spelling of 9659557440 in words is "nine billion, six hundred fifty-nine million, five hundred fifty-seven thousand, four hundred forty".