84867676848 has 120 divisors (see below), whose sum is σ = 242958163968. Its totient is φ = 27647174016.

The previous prime is 84867676847. The next prime is 84867676939.

84867676848 is a `hidden beast` number, since 8 + 486 + 7 + 67 + 6 + 84 + 8 = 666.

84867676848 is nontrivially palindromic in base 10.

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

It is not an unprimeable number, because it can be changed into a prime (84867676847) 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, 1190665 + ... + 1259927.

Almost surely, 2^84867676848 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 84867676848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121479081984).

84867676848 is an abundant number, since it is smaller than the sum of its proper divisors (158090487120).

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

84867676848 is a wasteful number, since it uses less digits than its factorization.

84867676848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69471 (or 69462 counting only the distinct ones).

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

The spelling of 84867676848 in words is "eighty-four billion, eight hundred sixty-seven million, six hundred seventy-six thousand, eight hundred forty-eight".