9785457768 has 32 divisors (see below), whose sum is σ = 25252796160. Its totient is φ = 3156599040.

The previous prime is 9785457761. The next prime is 9785457769. The reversal of 9785457768 is 8677545879.

It is a junction number, because it is equal to n+sod(n) for n = 9785457699 and 9785457708.

It is not an unprimeable number, because it can be changed into a prime (9785457761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6575505 + ... + 6576992.

It is an arithmetic number, because the mean of its divisors is an integer number (789149880).

Almost surely, 2^9785457768 is an apocalyptic number.

It is an amenable number.

9785457768 is an abundant number, since it is smaller than the sum of its proper divisors (15467338392).

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

9785457768 is a wasteful number, since it uses less digits than its factorization.

9785457768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13152537 (or 13152533 counting only the distinct ones).

The product of its digits is 118540800, while the sum is 66.

The square root of 9785457768 is about 98921.4727346899. The cubic root of 9785457768 is about 2138.9159333047.

The spelling of 9785457768 in words is "nine billion, seven hundred eighty-five million, four hundred fifty-seven thousand, seven hundred sixty-eight".