9486873705600 has 960 divisors, whose sum is σ = 37296808164000. Its totient is φ = 2367706152960.

The previous prime is 9486873705593. The next prime is 9486873705623. The reversal of 9486873705600 is 65073786849.

9486873705600 is a `hidden beast` number, since 9 + 4 + 8 + 68 + 7 + 3 + 7 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 408746796 + ... + 408770004.

Almost surely, 2^{9486873705600} is an apocalyptic number.

9486873705600 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 9486873705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18648404082000).

9486873705600 is an abundant number, since it is smaller than the sum of its proper divisors (27809934458400).

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

9486873705600 is a wasteful number, since it uses less digits than its factorization.

9486873705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23347 (or 23321 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 9486873705600 in words is "nine trillion, four hundred eighty-six billion, eight hundred seventy-three million, seven hundred five thousand, six hundred".