873234432000 has 1520 divisors, whose sum is σ = 3800233502208. Its totient is φ = 195349708800.

The previous prime is 873234431989. The next prime is 873234432013. The reversal of 873234432000 is 234432378.

873234432000 is a `hidden beast` number, since 8 + 7 + 3 + 2 + 3 + 443 + 200 + 0 = 666.

It is a super-3 number, since 3×873234432000³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18579455977 + ... + 18579456023.

Almost surely, 2^873234432000 is an apocalyptic number.

873234432000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 873234432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900116751104).

873234432000 is an abundant number, since it is smaller than the sum of its proper divisors (2926999070208).

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

873234432000 is an frugal number, since it uses more digits than its factorization.

873234432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

Adding to 873234432000 its reverse (234432378), we get a palindrome (873468864378).

The spelling of 873234432000 in words is "eight hundred seventy-three billion, two hundred thirty-four million, four hundred thirty-two thousand".