682616262400 has 216 divisors, whose sum is σ = 1742576912384. Its totient is φ = 264583065600.

The previous prime is 682616262373. The next prime is 682616262409. The reversal of 682616262400 is 4262616286.

682616262400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682616262409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34940635 + ... + 34960165.

Almost surely, 2^682616262400 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 682616262400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871288456192).

682616262400 is an abundant number, since it is smaller than the sum of its proper divisors (1059960649984).

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

682616262400 is a wasteful number, since it uses less digits than its factorization.

682616262400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19727 (or 19708 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 43.

Adding to 682616262400 its reverse (4262616286), we get a palindrome (686878878686).

The spelling of 682616262400 in words is "six hundred eighty-two billion, six hundred sixteen million, two hundred sixty-two thousand, four hundred".