9863544960 has 416 divisors, whose sum is σ = 36589689900. Its totient is φ = 2539579392.

The previous prime is 9863544949. The next prime is 9863544979. The reversal of 9863544960 is 694453689.

9863544960 is a `hidden beast` number, since 9 + 8 + 6 + 3 + 544 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9829532736 + 34012224 = 99144^2 + 5832^2 .

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 = 9863544897 and 9863544906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 51 ways as a sum of consecutive naturals, for example, 340122226 + ... + 340122254.

Almost surely, 2^9863544960 is an apocalyptic number.

9863544960 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 9863544960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18294844950).

9863544960 is an abundant number, since it is smaller than the sum of its proper divisors (26726144940).

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

9863544960 is an frugal number, since it uses more digits than its factorization.

9863544960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 9863544960 is about 99315.3812860828. The cubic root of 9863544960 is about 2144.5903271605.

The spelling of 9863544960 in words is "nine billion, eight hundred sixty-three million, five hundred forty-four thousand, nine hundred sixty".