848793673728 has 2016 divisors, whose sum is σ = 3524233370112. Its totient is φ = 193226342400.

The previous prime is 848793673699. The next prime is 848793673747. The reversal of 848793673728 is 827376397848.

848793673728 is a `hidden beast` number, since 8 + 487 + 9 + 3 + 6 + 73 + 72 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16014974950 + ... + 16014975002.

It is an arithmetic number, because the mean of its divisors is an integer number (1748131632).

Almost surely, 2^848793673728 is an apocalyptic number.

848793673728 is a gapful number since it is divisible by the number (88) 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 848793673728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762116685056).

848793673728 is an abundant number, since it is smaller than the sum of its proper divisors (2675439696384).

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

848793673728 is a wasteful number, since it uses less digits than its factorization.

848793673728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 120 counting only the distinct ones).

The product of its digits is 682795008, while the sum is 72.

The spelling of 848793673728 in words is "eight hundred forty-eight billion, seven hundred ninety-three million, six hundred seventy-three thousand, seven hundred twenty-eight".