867971690016 has 96 divisors (see below), whose sum is σ = 2293617513600. Its totient is φ = 287399540736.

The previous prime is 867971689999. The next prime is 867971690093. The reversal of 867971690016 is 610096179768.

It is a tau number, because it is divible by the number of its divisors (96).

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, 11750350 + ... + 11823986.

It is an arithmetic number, because the mean of its divisors is an integer number (23891849100).

Almost surely, 2^867971690016 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 867971690016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1146808756800).

867971690016 is an abundant number, since it is smaller than the sum of its proper divisors (1425645823584).

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

867971690016 is a wasteful number, since it uses less digits than its factorization.

867971690016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74466 (or 74458 counting only the distinct ones).

The product of its (nonzero) digits is 6858432, while the sum is 60.

The spelling of 867971690016 in words is "eight hundred sixty-seven billion, nine hundred seventy-one million, six hundred ninety thousand, sixteen".