867680000000 has 768 divisors, whose sum is σ = 2591360553600. Its totient is φ = 286720000000.

The previous prime is 867679999997. The next prime is 867680000003. The reversal of 867680000000 is 86768.

It is an interprime number because it is at equal distance from previous prime (867679999997) and next prime (867680000003).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867680000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29919999986 + ... + 29920000014.

Almost surely, 2^867680000000 is an apocalyptic number.

867680000000 is a gapful number since it is divisible by the number (80) 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 867680000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295680276800).

867680000000 is an abundant number, since it is smaller than the sum of its proper divisors (1723680553600).

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

867680000000 is an frugal number, since it uses more digits than its factorization.

867680000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

Adding to 867680000000 its reverse (86768), we get a palindrome (867680086768).

867680000000 divided by its reverse (86768) gives a 7-th power (10000000 = 10⁷).

The spelling of 867680000000 in words is "eight hundred sixty-seven billion, six hundred eighty million", and thus it is an aban number.