682386690240 has 1344 divisors, whose sum is σ = 2677744321920. Its totient is φ = 165435457536.

The previous prime is 682386690149. The next prime is 682386690253. The reversal of 682386690240 is 42096683286.

It is a super-2 number, since 2×682386690240² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9347762844 + ... + 9347762916.

Almost surely, 2^682386690240 is an apocalyptic number.

682386690240 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 682386690240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338872160960).

682386690240 is an abundant number, since it is smaller than the sum of its proper divisors (1995357631680).

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

682386690240 is an equidigital number, since it uses as much as digits as its factorization.

682386690240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 682386690240 in words is "six hundred eighty-two billion, three hundred eighty-six million, six hundred ninety thousand, two hundred forty".