867187159664 has 640 divisors, whose sum is σ = 2312994816000. Its totient is φ = 312378716160.

The previous prime is 867187159651. The next prime is 867187159669. The reversal of 867187159664 is 466951781768.

It is a super-2 number, since 2×867187159664² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (68).

Its product of digits (121927680) is a multiple of the sum of its prime divisors (486).

It is a junction number, because it is equal to n+sod(n) for n = 867187159594 and 867187159603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (867187159669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2362907609 + ... + 2362907975.

It is an arithmetic number, because the mean of its divisors is an integer number (3614054400).

Almost surely, 2^867187159664 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 867187159664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156497408000).

867187159664 is an abundant number, since it is smaller than the sum of its proper divisors (1445807656336).

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

867187159664 is a wasteful number, since it uses less digits than its factorization.

867187159664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 486 counting only the distinct ones).

The product of its digits is 121927680, while the sum is 68.

The spelling of 867187159664 in words is "eight hundred sixty-seven billion, one hundred eighty-seven million, one hundred fifty-nine thousand, six hundred sixty-four".