682635197440 has 352 divisors, whose sum is σ = 1971408384000. Its totient is φ = 226478407680.

The previous prime is 682635197437. The next prime is 682635197473. The reversal of 682635197440 is 44791536286.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54434691 + ... + 54447229.

It is an arithmetic number, because the mean of its divisors is an integer number (5600592000).

It is a 2-persistent number, because it is pandigital, and so is 2⋅682635197440 = 1365270394880, but 3⋅682635197440 = 2047905592320 is not.

Almost surely, 2^682635197440 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 682635197440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (985704192000).

682635197440 is an abundant number, since it is smaller than the sum of its proper divisors (1288773186560).

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

682635197440 is a wasteful number, since it uses less digits than its factorization.

682635197440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12616 (or 12584 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 682635197440 in words is "six hundred eighty-two billion, six hundred thirty-five million, one hundred ninety-seven thousand, four hundred forty".