682083583104 has 512 divisors, whose sum is σ = 2436943656960. Its totient is φ = 163590635520.

The previous prime is 682083583061. The next prime is 682083583109. The reversal of 682083583104 is 401385380286.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (682083583109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26627967 + ... + 26653569.

It is an arithmetic number, because the mean of its divisors is an integer number (4759655580).

Almost surely, 2^682083583104 is an apocalyptic number.

682083583104 is a gapful number since it is divisible by the number (64) 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 682083583104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218471828480).

682083583104 is an abundant number, since it is smaller than the sum of its proper divisors (1754860073856).

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

682083583104 is a wasteful number, since it uses less digits than its factorization.

682083583104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25708 (or 25696 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 682083583104 in words is "six hundred eighty-two billion, eighty-three million, five hundred eighty-three thousand, one hundred four".