9864723845160 has 384 divisors, whose sum is σ = 33075670118400. Its totient is φ = 2548725941760.

The previous prime is 9864723845143. The next prime is 9864723845183. The reversal of 9864723845160 is 615483274689.

9864723845160 is a `hidden beast` number, since 9 + 86 + 4 + 7 + 2 + 38 + 4 + 516 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 759812029 + ... + 759825011.

It is an arithmetic number, because the mean of its divisors is an integer number (86134557600).

It is a 1-persistent number, because it is pandigital, but 2⋅9864723845160 = 19729447690320 is not.

Almost surely, 2^{9864723845160} is an apocalyptic number.

9864723845160 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 9864723845160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16537835059200).

9864723845160 is an abundant number, since it is smaller than the sum of its proper divisors (23210946273240).

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

9864723845160 is a wasteful number, since it uses less digits than its factorization.

9864723845160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13573 (or 13566 counting only the distinct ones).

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

The spelling of 9864723845160 in words is "nine trillion, eight hundred sixty-four billion, seven hundred twenty-three million, eight hundred forty-five thousand, one hundred sixty".