9613780440 has 256 divisors, whose sum is σ = 32537272320. Its totient is φ = 2252336640.

The previous prime is 9613780391. The next prime is 9613780441. The reversal of 9613780440 is 440873169.

It is a junction number, because it is equal to n+sod(n) for n = 9613780392 and 9613780401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9613780441) 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, 5148387 + ... + 5150253.

It is an arithmetic number, because the mean of its divisors is an integer number (127098720).

Almost surely, 2^9613780440 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 9613780440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16268636160).

9613780440 is an abundant number, since it is smaller than the sum of its proper divisors (22923491880).

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

9613780440 is a wasteful number, since it uses less digits than its factorization.

9613780440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022 (or 2018 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 9613780440 is about 98049.8875063098. The cubic root of 9613780440 is about 2126.3335898452. Note that the first 3 decimals are identical.

The spelling of 9613780440 in words is "nine billion, six hundred thirteen million, seven hundred eighty thousand, four hundred forty".