867614416768 has 128 divisors (see below), whose sum is σ = 1985524819200. Its totient is φ = 373481902080.

The previous prime is 867614416733. The next prime is 867614416847.

It is a happy number.

867614416768 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 136779805 + ... + 136786147.

It is an arithmetic number, because the mean of its divisors is an integer number (15511912650).

Almost surely, 2^867614416768 is an apocalyptic number.

867614416768 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 867614416768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (992762409600).

867614416768 is an abundant number, since it is smaller than the sum of its proper divisors (1117910402432).

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

867614416768 is a wasteful number, since it uses less digits than its factorization.

867614416768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11500 (or 11488 counting only the distinct ones).

The product of its digits is 65028096, while the sum is 64.

The spelling of 867614416768 in words is "eight hundred sixty-seven billion, six hundred fourteen million, four hundred sixteen thousand, seven hundred sixty-eight".