866279972668 has 48 divisors (see below), whose sum is σ = 1781334656640. Its totient is φ = 364363876800.

The previous prime is 866279972563. The next prime is 866279972699.

866279972668 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×866279972668³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (76).

It is a junction number, because it is equal to n+sod(n) for n = 866279972594 and 866279972603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12013123 + ... + 12085018.

It is an arithmetic number, because the mean of its divisors is an integer number (37111138680).

Almost surely, 2^866279972668 is an apocalyptic number.

It is an amenable number.

866279972668 is an abundant number, since it is smaller than the sum of its proper divisors (915054683972).

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

866279972668 is a wasteful number, since it uses less digits than its factorization.

866279972668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24098218 (or 24098216 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 76.

The spelling of 866279972668 in words is "eight hundred sixty-six billion, two hundred seventy-nine million, nine hundred seventy-two thousand, six hundred sixty-eight".