84728556864 has 168 divisors, whose sum is σ = 277679920128. Its totient is φ = 24197114880.

The previous prime is 84728556853. The next prime is 84728556881. The reversal of 84728556864 is 46865582748.

84728556864 is a `hidden beast` number, since 8 + 4 + 7 + 2 + 8 + 5 + 568 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-3 number, since 3×84728556864³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (103219200) is a multiple of the sum of its prime divisors (9600).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13669414 + ... + 13675610.

Almost surely, 2^84728556864 is an apocalyptic number.

84728556864 is a gapful number since it is divisible by the number (84) 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 84728556864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138839960064).

84728556864 is an abundant number, since it is smaller than the sum of its proper divisors (192951363264).

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

84728556864 is a wasteful number, since it uses less digits than its factorization.

84728556864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9613 (or 9600 counting only the distinct ones).

The product of its digits is 103219200, while the sum is 63.

The spelling of 84728556864 in words is "eighty-four billion, seven hundred twenty-eight million, five hundred fifty-six thousand, eight hundred sixty-four".