84272068403712 has 2880 divisors, whose sum is σ = 328814329536000. Its totient is φ = 21183478235136.

The previous prime is 84272068403657. The next prime is 84272068403717. The reversal of 84272068403712 is 21730486027248.

84272068403712 is a `hidden beast` number, since 8 + 4 + 27 + 206 + 8 + 40 + 371 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (84272068403717) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 517006554543 + ... + 517006554705.

It is an arithmetic number, because the mean of its divisors is an integer number (114171642200).

Almost surely, 2^{84272068403712} 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 84272068403712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164407164768000).

84272068403712 is an abundant number, since it is smaller than the sum of its proper divisors (244542261132288).

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

84272068403712 is a wasteful number, since it uses less digits than its factorization.

84272068403712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 84272068403712 in words is "eighty-four trillion, two hundred seventy-two billion, sixty-eight million, four hundred three thousand, seven hundred twelve".