84667677676648 has 64 divisors (see below), whose sum is σ = 175627861200000. Its totient is φ = 37942231891200.

The previous prime is 84667677676643. The next prime is 84667677676693.

84667677676648 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (88).

It is not an unprimeable number, because it can be changed into a prime (84667677676643) 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 15 ways as a sum of consecutive naturals, for example, 259435078 + ... + 259761226.

It is an arithmetic number, because the mean of its divisors is an integer number (2744185331250).

Almost surely, 2^{84667677676648} is an apocalyptic number.

84667677676648 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

84667677676648 is an abundant number, since it is smaller than the sum of its proper divisors (90960183523352).

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

84667677676648 is a wasteful number, since it uses less digits than its factorization.

84667677676648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367786 (or 367782 counting only the distinct ones).

The product of its digits is 114709561344, while the sum is 88.

The spelling of 84667677676648 in words is "eighty-four trillion, six hundred sixty-seven billion, six hundred seventy-seven million, six hundred seventy-six thousand, six hundred forty-eight".