812333721600 has 1728 divisors, whose sum is σ = 3282614899200. Its totient is φ = 191102976000.

The previous prime is 812333721599. The next prime is 812333721679. The reversal of 812333721600 is 6127333218.

812333721600 is a `hidden beast` number, since 8 + 1 + 23 + 3 + 3 + 7 + 21 + 600 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11127859164 + ... + 11127859236.

It is an arithmetic number, because the mean of its divisors is an integer number (1899661400).

Almost surely, 2^812333721600 is an apocalyptic number.

812333721600 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 812333721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641307449600).

812333721600 is an abundant number, since it is smaller than the sum of its proper divisors (2470281177600).

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

812333721600 is a wasteful number, since it uses less digits than its factorization.

812333721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 812333721600 in words is "eight hundred twelve billion, three hundred thirty-three million, seven hundred twenty-one thousand, six hundred".