867636636768 has 72 divisors (see below), whose sum is σ = 2691645485256. Its totient is φ = 262920192000.

The previous prime is 867636636761. The next prime is 867636636773.

867636636768 is a `hidden beast` number, since 86 + 76 + 3 + 66 + 367 + 68 = 666.

867636636768 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 867636636696 and 867636636705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867636636761) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 136934433 + ... + 136940768.

It is an arithmetic number, because the mean of its divisors is an integer number (37383965073).

Almost surely, 2^867636636768 is an apocalyptic number.

867636636768 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

867636636768 is an abundant number, since it is smaller than the sum of its proper divisors (1824008848488).

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

867636636768 is a wasteful number, since it uses less digits than its factorization.

867636636768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273875228 (or 273875217 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 72.

The spelling of 867636636768 in words is "eight hundred sixty-seven billion, six hundred thirty-six million, six hundred thirty-six thousand, seven hundred sixty-eight".