849709488268800 has 720 divisors, whose sum is σ = 3084062357376000. Its totient is φ = 223379916963840.

The previous prime is 849709488268769. The next prime is 849709488268811. The reversal of 849709488268800 is 8862884907948.

849709488268800 is a `hidden beast` number, since 8 + 4 + 9 + 70 + 9 + 488 + 2 + 68 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a self number, because there is not a number n which added to its sum of digits gives 849709488268800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5997356361 + ... + 5997498039.

It is an arithmetic number, because the mean of its divisors is an integer number (4283419940800).

Almost surely, 2^{849709488268800} is an apocalyptic number.

849709488268800 is a gapful number since it is divisible by the number (80) 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 849709488268800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1542031178688000).

849709488268800 is an abundant number, since it is smaller than the sum of its proper divisors (2234352869107200).

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

849709488268800 is a wasteful number, since it uses less digits than its factorization.

849709488268800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142451 (or 142427 counting only the distinct ones).

The product of its (nonzero) digits is 3567255552, while the sum is 81.

The spelling of 849709488268800 in words is "eight hundred forty-nine trillion, seven hundred nine billion, four hundred eighty-eight million, two hundred sixty-eight thousand, eight hundred".