9385540640 has 192 divisors, whose sum is σ = 25951000320. Its totient is φ = 3141242880.

The previous prime is 9385540639. The next prime is 9385540651. The reversal of 9385540640 is 460455839.

It is a Cunningham number, because it is equal to 96879²-1.

It is a junction number, because it is equal to n+sod(n) for n = 9385540591 and 9385540600.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11431430 + ... + 11432250.

It is an arithmetic number, because the mean of its divisors is an integer number (135161460).

Almost surely, 2^9385540640 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 9385540640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12975500160).

9385540640 is an abundant number, since it is smaller than the sum of its proper divisors (16565459680).

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

9385540640 is a wasteful number, since it uses less digits than its factorization.

9385540640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 44.

The square root of 9385540640 is about 96878.9999948389. Note that the first 5 decimals coincide. The cubic root of 9385540640 is about 2109.3716179450.

The spelling of 9385540640 in words is "nine billion, three hundred eighty-five million, five hundred forty thousand, six hundred forty".