84076159968 has 144 divisors (see below), whose sum is σ = 255572737056. Its totient is φ = 26152980480.

The previous prime is 84076159963. The next prime is 84076160023. The reversal of 84076159968 is 86995167048.

84076159968 is a `hidden beast` number, since 8 + 4 + 0 + 7 + 615 + 9 + 9 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×84076159968² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84076159961) 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, 116796 + ... + 426372.

It is an arithmetic number, because the mean of its divisors is an integer number (1774810674).

Almost surely, 2^84076159968 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 84076159968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127786368528).

84076159968 is an abundant number, since it is smaller than the sum of its proper divisors (171496577088).

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

84076159968 is a wasteful number, since it uses less digits than its factorization.

84076159968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309657 (or 309646 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 84076159968 in words is "eighty-four billion, seventy-six million, one hundred fifty-nine thousand, nine hundred sixty-eight".