678208903680 has 1280 divisors, whose sum is σ = 2840835317760. Its totient is φ = 133909708800.

The previous prime is 678208903661. The next prime is 678208903711. The reversal of 678208903680 is 86309802876.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a self number, because there is not a number n which added to its sum of digits gives 678208903680.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1217609962 + ... + 1217610518.

It is an arithmetic number, because the mean of its divisors is an integer number (2219402592).

Almost surely, 2^678208903680 is an apocalyptic number.

678208903680 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 678208903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1420417658880).

678208903680 is an abundant number, since it is smaller than the sum of its proper divisors (2162626414080).

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

678208903680 is a wasteful number, since it uses less digits than its factorization.

678208903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 678208903680 in words is "six hundred seventy-eight billion, two hundred eight million, nine hundred three thousand, six hundred eighty".