9863451786240 has 1408 divisors, whose sum is σ = 39014863641600. Its totient is φ = 2347700060160.

The previous prime is 9863451786193. The next prime is 9863451786269. The reversal of 9863451786240 is 426871543689.

9863451786240 is a `hidden beast` number, since 9 + 8 + 6 + 34 + 517 + 86 + 2 + 4 + 0 = 666.

It is a super-3 number, since 3×9863451786240³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8423100855 + ... + 8423102025.

It is an arithmetic number, because the mean of its divisors is an integer number (27709420200).

It is a 2-persistent number, because it is pandigital, and so is 2⋅9863451786240 = 19726903572480, but 3⋅9863451786240 = 29590355358720 is not.

Almost surely, 2^{9863451786240} is an apocalyptic number.

9863451786240 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 9863451786240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19507431820800).

9863451786240 is an abundant number, since it is smaller than the sum of its proper divisors (29151411855360).

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

9863451786240 is a wasteful number, since it uses less digits than its factorization.

9863451786240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1346 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 9863451786240 in words is "nine trillion, eight hundred sixty-three billion, four hundred fifty-one million, seven hundred eighty-six thousand, two hundred forty".