682743200000 has 108 divisors (see below), whose sum is σ = 1703417263380. Its totient is φ = 273096960000.

The previous prime is 682743199979. The next prime is 682743200023. The reversal of 682743200000 is 2347286.

682743200000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 665751556096 + 16991643904 = 815936^2 + 130352^2 .

It is a super-2 number, since 2×682743200000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 682743200000.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 373286 + ... + 1226714.

Almost surely, 2^682743200000 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 682743200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851708631690).

682743200000 is an abundant number, since it is smaller than the sum of its proper divisors (1020674063380).

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

682743200000 is an frugal number, since it uses more digits than its factorization.

682743200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 853470 (or 853436 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

Adding to 682743200000 its reverse (2347286), we get a palindrome (682745547286).

The spelling of 682743200000 in words is "six hundred eighty-two billion, seven hundred forty-three million, two hundred thousand".