682825306464 has 216 divisors, whose sum is σ = 2260973463840. Its totient is φ = 194906138112.

The previous prime is 682825306403. The next prime is 682825306487. The reversal of 682825306464 is 464603528286.

It is a happy number.

682825306464 is a `hidden beast` number, since 68 + 2 + 8 + 2 + 530 + 6 + 46 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 682825306464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15063097 + ... + 15108359.

It is an arithmetic number, because the mean of its divisors is an integer number (10467469740).

Almost surely, 2^682825306464 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 682825306464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130486731920).

682825306464 is an abundant number, since it is smaller than the sum of its proper divisors (1578148157376).

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

682825306464 is a wasteful number, since it uses less digits than its factorization.

682825306464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46362 (or 46344 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 682825306464 in words is "six hundred eighty-two billion, eight hundred twenty-five million, three hundred six thousand, four hundred sixty-four".