844768540800 has 144 divisors (see below), whose sum is σ = 3014327849130. Its totient is φ = 225271603200.

The previous prime is 844768540789. The next prime is 844768540823. The reversal of 844768540800 is 8045867448.

844768540800 is a `hidden beast` number, since 8 + 447 + 6 + 85 + 40 + 80 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 408566412864 + 436202127936 = 639192^2 + 660456^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×844768540800² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14637321 + ... + 14694920.

Almost surely, 2^844768540800 is an apocalyptic number.

844768540800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

844768540800 is an abundant number, since it is smaller than the sum of its proper divisors (2169559308330).

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

844768540800 is a wasteful number, since it uses less digits than its factorization.

844768540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29332271 (or 29332251 counting only the distinct ones).

The product of its (nonzero) digits is 6881280, while the sum is 54.

The spelling of 844768540800 in words is "eight hundred forty-four billion, seven hundred sixty-eight million, five hundred forty thousand, eight hundred".