876468916224 has 936 divisors, whose sum is σ = 3053533767648. Its totient is φ = 249070878720.

The previous prime is 876468916129. The next prime is 876468916247. The reversal of 876468916224 is 422619864678.

876468916224 is a `hidden beast` number, since 8 + 7 + 6 + 468 + 9 + 162 + 2 + 4 = 666.

It is a super-2 number, since 2×876468916224² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 3164147574 + ... + 3164147850.

Almost surely, 2^876468916224 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 876468916224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526766883824).

876468916224 is an abundant number, since it is smaller than the sum of its proper divisors (2177064851424).

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

876468916224 is a wasteful number, since it uses less digits than its factorization.

876468916224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 310 counting only the distinct ones).

The product of its digits is 55738368, while the sum is 63.

The spelling of 876468916224 in words is "eight hundred seventy-six billion, four hundred sixty-eight million, nine hundred sixteen thousand, two hundred twenty-four".