9850649760 has 480 divisors, whose sum is σ = 41467168512. Its totient is φ = 2153226240.

The previous prime is 9850649747. The next prime is 9850649773. The reversal of 9850649760 is 679460589.

9850649760 is a `hidden beast` number, since 98 + 5 + 0 + 6 + 497 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (9850649747) and next prime (9850649773).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 9850649697 and 9850649706.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2084200 + ... + 2088920.

Almost surely, 2^9850649760 is an apocalyptic number.

9850649760 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9850649760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20733584256).

9850649760 is an abundant number, since it is smaller than the sum of its proper divisors (31616518752).

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

9850649760 is a wasteful number, since it uses less digits than its factorization.

9850649760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4778 (or 4761 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 9850649760 is about 99250.4395960038. The cubic root of 9850649760 is about 2143.6553360154.

The spelling of 9850649760 in words is "nine billion, eight hundred fifty million, six hundred forty-nine thousand, seven hundred sixty".