678748805280 has 1008 divisors, whose sum is σ = 2975898683520. Its totient is φ = 143179425792.

The previous prime is 678748805279. The next prime is 678748805299. The reversal of 678748805280 is 82508847876.

678748805280 is a `hidden beast` number, since 6 + 78 + 7 + 488 + 0 + 5 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 137982661 + ... + 137987579.

It is an arithmetic number, because the mean of its divisors is an integer number (2952280440).

Almost surely, 2^678748805280 is an apocalyptic number.

678748805280 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 678748805280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487949341760).

678748805280 is an abundant number, since it is smaller than the sum of its proper divisors (2297149878240).

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

678748805280 is a wasteful number, since it uses less digits than its factorization.

678748805280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4985 (or 4949 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 678748805280 in words is "six hundred seventy-eight billion, seven hundred forty-eight million, eight hundred five thousand, two hundred eighty".