873287604224 has 576 divisors, whose sum is σ = 2235380172480. Its totient is φ = 333698826240.

The previous prime is 873287604157. The next prime is 873287604269. The reversal of 873287604224 is 422406782378.

873287604224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9002964944 + ... + 9002965040.

It is an arithmetic number, because the mean of its divisors is an integer number (3880868355).

Almost surely, 2^873287604224 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 873287604224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1117690086240).

873287604224 is an abundant number, since it is smaller than the sum of its proper divisors (1362092568256).

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

873287604224 is a wasteful number, since it uses less digits than its factorization.

873287604224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 53.

The spelling of 873287604224 in words is "eight hundred seventy-three billion, two hundred eighty-seven million, six hundred four thousand, two hundred twenty-four".