9717809955840 has 1584 divisors, whose sum is σ = 40467027090672. Its totient is φ = 2148379656192.

The previous prime is 9717809955839. The next prime is 9717809955907. The reversal of 9717809955840 is 485599087179.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2390957097984 + 7326852857856 = 1546272^2 + 2706816^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24478110522 + ... + 24478110918.

Almost surely, 2^{9717809955840} is an apocalyptic number.

9717809955840 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 9717809955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20233513545336).

9717809955840 is an abundant number, since it is smaller than the sum of its proper divisors (30749217134832).

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

9717809955840 is a wasteful number, since it uses less digits than its factorization.

9717809955840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 72.

The spelling of 9717809955840 in words is "nine trillion, seven hundred seventeen billion, eight hundred nine million, nine hundred fifty-five thousand, eight hundred forty".