682236202991616 has 1680 divisors, whose sum is σ = 2665975249413504. Its totient is φ = 169341697916928.

The previous prime is 682236202991561. The next prime is 682236202991663. The reversal of 682236202991616 is 616199202632286.

It is a happy number.

682236202991616 is a `hidden beast` number, since 6 + 8 + 2 + 2 + 3 + 6 + 2 + 0 + 2 + 9 + 9 + 1 + 616 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 18477250531 + ... + 18477287453.

Almost surely, 2^{682236202991616} 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 682236202991616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332987624706752).

682236202991616 is an abundant number, since it is smaller than the sum of its proper divisors (1983739046421888).

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

682236202991616 is an equidigital number, since it uses as much as digits as its factorization.

682236202991616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37006 (or 36965 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 682236202991616 in words is "six hundred eighty-two trillion, two hundred thirty-six billion, two hundred two million, nine hundred ninety-one thousand, six hundred sixteen".