847875852720 has 2160 divisors, whose sum is σ = 3651531287040. Its totient is φ = 182133080064.

The previous prime is 847875852713. The next prime is 847875852731. The reversal of 847875852720 is 27258578748.

847875852720 is a `hidden beast` number, since 8 + 4 + 7 + 8 + 7 + 585 + 27 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a congruent number.

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 431 ways as a sum of consecutive naturals, for example, 18039911737 + ... + 18039911783.

It is an arithmetic number, because the mean of its divisors is an integer number (1690523744).

Almost surely, 2^847875852720 is an apocalyptic number.

847875852720 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 847875852720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825765643520).

847875852720 is an abundant number, since it is smaller than the sum of its proper divisors (2803655434320).

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

847875852720 is a wasteful number, since it uses less digits than its factorization.

847875852720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 70246400, while the sum is 63.

The spelling of 847875852720 in words is "eight hundred forty-seven billion, eight hundred seventy-five million, eight hundred fifty-two thousand, seven hundred twenty".