9577683648 has 196 divisors, whose sum is σ = 30689446368. Its totient is φ = 2946792960.

The previous prime is 9577683611. The next prime is 9577683671. The reversal of 9577683648 is 8463867759.

It is a super-3 number, since 3×9577683648³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 598633 + ... + 614423.

It is an arithmetic number, because the mean of its divisors is an integer number (156578808).

Almost surely, 2^9577683648 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 9577683648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15344723184).

9577683648 is an abundant number, since it is smaller than the sum of its proper divisors (21111762720).

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

9577683648 is a wasteful number, since it uses less digits than its factorization.

9577683648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15834 (or 15809 counting only the distinct ones).

The product of its digits is 60963840, while the sum is 63.

The square root of 9577683648 is about 97865.6407938966. The cubic root of 9577683648 is about 2123.6690090379.

The spelling of 9577683648 in words is "nine billion, five hundred seventy-seven million, six hundred eighty-three thousand, six hundred forty-eight".