9809849640960 has 768 divisors, whose sum is σ = 38865808800000. Its totient is φ = 2332475523072.

The previous prime is 9809849640919. The next prime is 9809849640971. The reversal of 9809849640960 is 690469489089.

It is a happy number.

9809849640960 is a `hidden beast` number, since 9 + 8 + 0 + 9 + 8 + 496 + 40 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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 63 ways as a sum of consecutive naturals, for example, 89248116 + ... + 89357964.

It is an arithmetic number, because the mean of its divisors is an integer number (50606521875).

Almost surely, 2^{9809849640960} is an apocalyptic number.

9809849640960 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 9809849640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19432904400000).

9809849640960 is an abundant number, since it is smaller than the sum of its proper divisors (29055959159040).

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

9809849640960 is a wasteful number, since it uses less digits than its factorization.

9809849640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109921 (or 109895 counting only the distinct ones).

The product of its (nonzero) digits is 241864704, while the sum is 72.

The spelling of 9809849640960 in words is "nine trillion, eight hundred nine billion, eight hundred forty-nine million, six hundred forty thousand, nine hundred sixty".