84867468768 has 120 divisors (see below), whose sum is σ = 252064862280. Its totient is φ = 28008979200.

The previous prime is 84867468761. The next prime is 84867468769. The reversal of 84867468768 is 86786476848.

84867468768 is a `hidden beast` number, since 8 + 48 + 67 + 468 + 7 + 68 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 84867468696 and 84867468705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84867468761) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 99703 + ... + 423881.

It is an arithmetic number, because the mean of its divisors is an integer number (2100540519).

Almost surely, 2^84867468768 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 84867468768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126032431140).

84867468768 is an abundant number, since it is smaller than the sum of its proper divisors (167197393512).

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

84867468768 is a wasteful number, since it uses less digits than its factorization.

84867468768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324302 (or 324285 counting only the distinct ones).

The product of its digits is 693633024, while the sum is 72.

The spelling of 84867468768 in words is "eighty-four billion, eight hundred sixty-seven million, four hundred sixty-eight thousand, seven hundred sixty-eight".