9640517928552 has 512 divisors, whose sum is σ = 31550238720000. Its totient is φ = 2726287683840.

The previous prime is 9640517928539. The next prime is 9640517928553. The reversal of 9640517928552 is 2558297150469.

9640517928552 is a `hidden beast` number, since 9 + 6 + 4 + 0 + 5 + 1 + 79 + 2 + 8 + 552 = 666.

It is a super-3 number, since 3×9640517928552³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 9640517928552.

It is not an unprimeable number, because it can be changed into a prime (9640517928553) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 3044052073 + ... + 3044055239.

It is an arithmetic number, because the mean of its divisors is an integer number (61621560000).

Almost surely, 2^{9640517928552} 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 9640517928552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15775119360000).

9640517928552 is an abundant number, since it is smaller than the sum of its proper divisors (21909720791448).

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

9640517928552 is a wasteful number, since it uses less digits than its factorization.

9640517928552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3611 (or 3587 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 9640517928552 in words is "nine trillion, six hundred forty billion, five hundred seventeen million, nine hundred twenty-eight thousand, five hundred fifty-two".