682338629520 has 60 divisors (see below), whose sum is σ = 2291520566556. Its totient is φ = 181956967680.

The previous prime is 682338629513. The next prime is 682338629549. The reversal of 682338629520 is 25926833286.

682338629520 is a `hidden beast` number, since 6 + 8 + 2 + 3 + 3 + 8 + 629 + 5 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 289375140096 + 392963489424 = 537936^2 + 626868^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 473845551 + ... + 473846990.

Almost surely, 2^682338629520 is an apocalyptic number.

682338629520 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

682338629520 is an abundant number, since it is smaller than the sum of its proper divisors (1609181937036).

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

682338629520 is a wasteful number, since it uses less digits than its factorization.

682338629520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947692560 (or 947692551 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 682338629520 in words is "six hundred eighty-two billion, three hundred thirty-eight million, six hundred twenty-nine thousand, five hundred twenty".