9640781568 has 576 divisors, whose sum is σ = 33554304000. Its totient is φ = 2700656640.

The previous prime is 9640781561. The next prime is 9640781603. The reversal of 9640781568 is 8651870469.

9640781568 is a `hidden beast` number, since 9 + 6 + 4 + 0 + 78 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9640781561) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64703158 + ... + 64703306.

It is an arithmetic number, because the mean of its divisors is an integer number (58254000).

Almost surely, 2^9640781568 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 9640781568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16777152000).

9640781568 is an abundant number, since it is smaller than the sum of its proper divisors (23913522432).

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

9640781568 is a wasteful number, since it uses less digits than its factorization.

9640781568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 9640781568 is about 98187.4817275604. The cubic root of 9640781568 is about 2128.3223925969.

The spelling of 9640781568 in words is "nine billion, six hundred forty million, seven hundred eighty-one thousand, five hundred sixty-eight".