4861705906800 has 720 divisors, whose sum is σ = 18463270775040. Its totient is φ = 1179353088000.

The previous prime is 4861705906793. The next prime is 4861705906867. The reversal of 4861705906800 is 86095071684.

4861705906800 is a `hidden beast` number, since 48 + 6 + 1 + 7 + 0 + 590 + 6 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2824929940 + ... + 2824931660.

It is an arithmetic number, because the mean of its divisors is an integer number (25643431632).

Almost surely, 2^{4861705906800} is an apocalyptic number.

4861705906800 is a gapful number since it is divisible by the number (40) 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 4861705906800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9231635387520).

4861705906800 is an abundant number, since it is smaller than the sum of its proper divisors (13601564868240).

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

4861705906800 is a wasteful number, since it uses less digits than its factorization.

4861705906800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 4861705906800 in words is "four trillion, eight hundred sixty-one billion, seven hundred five million, nine hundred six thousand, eight hundred".