682280229529440 has 1536 divisors, whose sum is σ = 2560305704140800. Its totient is φ = 171518018918400.

The previous prime is 682280229529411. The next prime is 682280229529469. The reversal of 682280229529440 is 44925922082286.

682280229529440 is a `hidden beast` number, since 6 + 8 + 2 + 2 + 80 + 2 + 2 + 95 + 29 + 440 = 666.

It is an interprime number because it is at equal distance from previous prime (682280229529411) and next prime (682280229529469).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 195439766095 + ... + 195439769585.

It is an arithmetic number, because the mean of its divisors is an integer number (1666865692800).

Almost surely, 2^{682280229529440} is an apocalyptic number.

682280229529440 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 682280229529440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1280152852070400).

682280229529440 is an abundant number, since it is smaller than the sum of its proper divisors (1878025474611360).

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

682280229529440 is a wasteful number, since it uses less digits than its factorization.

682280229529440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 79626240, while the sum is 63.

The spelling of 682280229529440 in words is "six hundred eighty-two trillion, two hundred eighty billion, two hundred twenty-nine million, five hundred twenty-nine thousand, four hundred forty".