678608448000 has 960 divisors, whose sum is σ = 2779604201088. Its totient is φ = 145951948800.

The previous prime is 678608447977. The next prime is 678608448029. The reversal of 678608448000 is 844806876.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (51).

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 95 ways as a sum of consecutive naturals, for example, 159933879 + ... + 159938121.

Almost surely, 2^678608448000 is an apocalyptic number.

678608448000 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 678608448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1389802100544).

678608448000 is an abundant number, since it is smaller than the sum of its proper divisors (2100995753088).

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

678608448000 is a wasteful number, since it uses less digits than its factorization.

678608448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4310 (or 4277 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 678608448000 in words is "six hundred seventy-eight billion, six hundred eight million, four hundred forty-eight thousand".