682365462240 has 768 divisors, whose sum is σ = 2743459891200. Its totient is φ = 141327728640.

The previous prime is 682365462227. The next prime is 682365462253. The reversal of 682365462240 is 42264563286.

It is an interprime number because it is at equal distance from previous prime (682365462227) and next prime (682365462253).

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

It is a self number, because there is not a number n which added to its sum of digits gives 682365462240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1044969754 + ... + 1044970406.

It is an arithmetic number, because the mean of its divisors is an integer number (3572213400).

Almost surely, 2^682365462240 is an apocalyptic number.

682365462240 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 682365462240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371729945600).

682365462240 is an abundant number, since it is smaller than the sum of its proper divisors (2061094428960).

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

682365462240 is a wasteful number, since it uses less digits than its factorization.

682365462240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 48.

The spelling of 682365462240 in words is "six hundred eighty-two billion, three hundred sixty-five million, four hundred sixty-two thousand, two hundred forty".