682992048960 has 336 divisors, whose sum is σ = 2678737488336. Its totient is φ = 158231494656.

The previous prime is 682992048941. The next prime is 682992048967. The reversal of 682992048960 is 69840299286.

682992048960 is a `hidden beast` number, since 6 + 8 + 2 + 9 + 92 + 0 + 489 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 28643904 + 682963405056 = 5352^2 + 826416^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (682992048967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99942 + ... + 1173018.

It is an arithmetic number, because the mean of its divisors is an integer number (7972433001).

Almost surely, 2^682992048960 is an apocalyptic number.

682992048960 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 682992048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339368744168).

682992048960 is an abundant number, since it is smaller than the sum of its proper divisors (1995745439376).

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

682992048960 is a wasteful number, since it uses less digits than its factorization.

682992048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073130 (or 1073117 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 682992048960 in words is "six hundred eighty-two billion, nine hundred ninety-two million, forty-eight thousand, nine hundred sixty".