9850727040 has 512 divisors, whose sum is σ = 40863191040. Its totient is φ = 1957232640.

The previous prime is 9850726957. The next prime is 9850727041. The reversal of 9850727040 is 407270589.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 9850726983 and 9850727001.

It is not an unprimeable number, because it can be changed into a prime (9850727041) 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, 3398872 + ... + 3401768.

It is an arithmetic number, because the mean of its divisors is an integer number (79810920).

Almost surely, 2^9850727040 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 9850727040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20431595520).

9850727040 is an abundant number, since it is smaller than the sum of its proper divisors (31012464000).

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

9850727040 is a wasteful number, since it uses less digits than its factorization.

9850727040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2960 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The square root of 9850727040 is about 99250.8289134151. The cubic root of 9850727040 is about 2143.6609417794.

The spelling of 9850727040 in words is "nine billion, eight hundred fifty million, seven hundred twenty-seven thousand, forty".