682192228032 has 784 divisors, whose sum is σ = 2419975449600. Its totient is φ = 190554674688.

The previous prime is 682192228031. The next prime is 682192228043. The reversal of 682192228032 is 230822291286.

It is a tau number, because it is divible by the number of its divisors (784).

It is not an unprimeable number, because it can be changed into a prime (682192228031) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 752140923 + ... + 752141829.

Almost surely, 2^682192228032 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 682192228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1209987724800).

682192228032 is an abundant number, since it is smaller than the sum of its proper divisors (1737783221568).

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

682192228032 is an frugal number, since it uses more digits than its factorization.

682192228032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 682192228032 in words is "six hundred eighty-two billion, one hundred ninety-two million, two hundred twenty-eight thousand, thirty-two".