867961958464 has 168 divisors, whose sum is σ = 1872744600960. Its totient is φ = 398868946944.

The previous prime is 867961958429. The next prime is 867961958467. The reversal of 867961958464 is 464859169768.

It is a super-2 number, since 2×867961958464² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (867961958467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538103322 + ... + 538104934.

Almost surely, 2^867961958464 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 867961958464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936372300480).

867961958464 is an abundant number, since it is smaller than the sum of its proper divisors (1004782642496).

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

867961958464 is a wasteful number, since it uses less digits than its factorization.

867961958464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2325 (or 2298 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 73.

The spelling of 867961958464 in words is "eight hundred sixty-seven billion, nine hundred sixty-one million, nine hundred fifty-eight thousand, four hundred sixty-four".