867066660768 has 192 divisors, whose sum is σ = 2854079649792. Its totient is φ = 223909985280.

The previous prime is 867066660751. The next prime is 867066660769.

867066660768 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 867066660699 and 867066660708.

It is not an unprimeable number, because it can be changed into a prime (867066660769) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 939805 + ... + 1617827.

It is an arithmetic number, because the mean of its divisors is an integer number (14864998176).

Almost surely, 2^867066660768 is an apocalyptic number.

867066660768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867066660768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427039824896).

867066660768 is an abundant number, since it is smaller than the sum of its proper divisors (1987012989024).

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

867066660768 is a wasteful number, since it uses less digits than its factorization.

867066660768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678227 (or 678219 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 66.

The spelling of 867066660768 in words is "eight hundred sixty-seven billion, sixty-six million, six hundred sixty thousand, seven hundred sixty-eight".