680248243584 has 1728 divisors, whose sum is σ = 2710975176000. Its totient is φ = 168740941824.

The previous prime is 680248243561. The next prime is 680248243607. The reversal of 680248243584 is 485342842086.

680248243584 is a `hidden beast` number, since 6 + 80 + 2 + 482 + 4 + 3 + 5 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (680248243561) and next prime (680248243607).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a self number, because there is not a number n which added to its sum of digits gives 680248243584.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 4893872187 + ... + 4893872325.

It is an arithmetic number, because the mean of its divisors is an integer number (1568851375).

Almost surely, 2^680248243584 is an apocalyptic number.

680248243584 is a gapful number since it is divisible by the number (64) 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 680248243584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355487588000).

680248243584 is an abundant number, since it is smaller than the sum of its proper divisors (2030726932416).

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

680248243584 is a wasteful number, since it uses less digits than its factorization.

680248243584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 54.

The spelling of 680248243584 in words is "six hundred eighty billion, two hundred forty-eight million, two hundred forty-three thousand, five hundred eighty-four".