9603068106240 has 1920 divisors, whose sum is σ = 40768065676800. Its totient is φ = 2135708467200.

The previous prime is 9603068106221. The next prime is 9603068106241. The reversal of 9603068106240 is 426018603069.

9603068106240 is a `hidden beast` number, since 9 + 6 + 0 + 3 + 0 + 6 + 8 + 10 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×9603068106240³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9603068106241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22919016751 + ... + 22919017169.

It is an arithmetic number, because the mean of its divisors is an integer number (21233367540).

Almost surely, 2^{9603068106240} is an apocalyptic number.

9603068106240 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 9603068106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20384032838400).

9603068106240 is an abundant number, since it is smaller than the sum of its proper divisors (31164997570560).

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

9603068106240 is a wasteful number, since it uses less digits than its factorization.

9603068106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 9603068106240 in words is "nine trillion, six hundred three billion, sixty-eight million, one hundred six thousand, two hundred forty".