867716468190 has 640 divisors, whose sum is σ = 2788293860352. Its totient is φ = 190864097280.

The previous prime is 867716468183. The next prime is 867716468191. The reversal of 867716468190 is 91864617768.

867716468190 is a `hidden beast` number, since 8 + 6 + 77 + 16 + 468 + 1 + 90 = 666.

It is a super-2 number, since 2×867716468190² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867716468191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3066135789 + ... + 3066136071.

Almost surely, 2^867716468190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 867716468190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394146930176).

867716468190 is an abundant number, since it is smaller than the sum of its proper divisors (1920577392162).

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

867716468190 is a wasteful number, since it uses less digits than its factorization.

867716468190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The spelling of 867716468190 in words is "eight hundred sixty-seven billion, seven hundred sixteen million, four hundred sixty-eight thousand, one hundred ninety".