682127239248 has 640 divisors, whose sum is σ = 2442083696640. Its totient is φ = 177509283840.

The previous prime is 682127239207. The next prime is 682127239271. The reversal of 682127239248 is 842932721286.

682127239248 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 682127239194 and 682127239203.

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, 1582661593 + ... + 1582662023.

It is an arithmetic number, because the mean of its divisors is an integer number (3815755776).

Almost surely, 2^682127239248 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 682127239248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221041848320).

682127239248 is an abundant number, since it is smaller than the sum of its proper divisors (1759956457392).

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

682127239248 is a wasteful number, since it uses less digits than its factorization.

682127239248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912 (or 900 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 682127239248 in words is "six hundred eighty-two billion, one hundred twenty-seven million, two hundred thirty-nine thousand, two hundred forty-eight".