84728578752 has 168 divisors, whose sum is σ = 248965516800. Its totient is φ = 27535173120.

The previous prime is 84728578733. The next prime is 84728578757. The reversal of 84728578752 is 25787582748.

84728578752 is a `hidden beast` number, since 8 + 4 + 7 + 2 + 8 + 578 + 7 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 84728578752.

It is not an unprimeable number, because it can be changed into a prime (84728578757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14833177 + ... + 14838887.

It is an arithmetic number, because the mean of its divisors is an integer number (1481937600).

Almost surely, 2^84728578752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84728578752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124482758400).

84728578752 is an abundant number, since it is smaller than the sum of its proper divisors (164236938048).

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

84728578752 is a wasteful number, since it uses less digits than its factorization.

84728578752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6371 (or 6358 counting only the distinct ones).

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

The spelling of 84728578752 in words is "eighty-four billion, seven hundred twenty-eight million, five hundred seventy-eight thousand, seven hundred fifty-two".