680282637840 has 360 divisors, whose sum is σ = 2596676223960. Its totient is φ = 158640021504.

The previous prime is 680282637833. The next prime is 680282637893. The reversal of 680282637840 is 48736282086.

It can be written as a sum of positive squares in 4 ways, for example, as 135921992976 + 544360644864 = 368676^2 + 737808^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3278296 + ... + 3479624.

It is an arithmetic number, because the mean of its divisors is an integer number (7212989511).

Almost surely, 2^680282637840 is an apocalyptic number.

680282637840 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 680282637840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1298338111980).

680282637840 is an abundant number, since it is smaller than the sum of its proper divisors (1916393586120).

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

680282637840 is a wasteful number, since it uses less digits than its factorization.

680282637840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201399 (or 201371 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 680282637840 in words is "six hundred eighty billion, two hundred eighty-two million, six hundred thirty-seven thousand, eight hundred forty".