867740367000 has 512 divisors, whose sum is σ = 3152910458880. Its totient is φ = 196748697600.

The previous prime is 867740366981. The next prime is 867740367029. The reversal of 867740367000 is 763047768.

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 127 ways as a sum of consecutive naturals, for example, 31147077 + ... + 31174923.

It is an arithmetic number, because the mean of its divisors is an integer number (6158028240).

Almost surely, 2^867740367000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867740367000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576455229440).

867740367000 is an abundant number, since it is smaller than the sum of its proper divisors (2285170091880).

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

867740367000 is a wasteful number, since it uses less digits than its factorization.

867740367000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27948 (or 27934 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 48.

The spelling of 867740367000 in words is "eight hundred sixty-seven billion, seven hundred forty million, three hundred sixty-seven thousand".