682435746720 has 1152 divisors, whose sum is σ = 3062863964160. Its totient is φ = 134339420160.

The previous prime is 682435746709. The next prime is 682435746721. The reversal of 682435746720 is 27647534286.

682435746720 is a `hidden beast` number, since 6 + 8 + 2 + 4 + 3 + 574 + 67 + 2 + 0 = 666.

682435746720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (682435746721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 166811875 + ... + 166815965.

It is an arithmetic number, because the mean of its divisors is an integer number (2658736080).

Almost surely, 2^682435746720 is an apocalyptic number.

682435746720 is a gapful number since it is divisible by the number (60) 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 682435746720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1531431982080).

682435746720 is an abundant number, since it is smaller than the sum of its proper divisors (2380428217440).

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

682435746720 is a wasteful number, since it uses less digits than its factorization.

682435746720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4218 (or 4207 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 682435746720 in words is "six hundred eighty-two billion, four hundred thirty-five million, seven hundred forty-six thousand, seven hundred twenty".