9817200640 has 192 divisors, whose sum is σ = 26252553600. Its totient is φ = 3498442752.

The previous prime is 9817200619. The next prime is 9817200643. The reversal of 9817200640 is 460027189.

It is a self number, because there is not a number n which added to its sum of digits gives 9817200640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9817200643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3859209 + ... + 3861751.

It is an arithmetic number, because the mean of its divisors is an integer number (136732050).

Almost surely, 2^9817200640 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 9817200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13126276800).

9817200640 is an abundant number, since it is smaller than the sum of its proper divisors (16435352960).

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

9817200640 is a wasteful number, since it uses less digits than its factorization.

9817200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2612 (or 2592 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 9817200640 is about 99081.7876302199. The cubic root of 9817200640 is about 2141.2262340760.

The spelling of 9817200640 in words is "nine billion, eight hundred seventeen million, two hundred thousand, six hundred forty".