678348944000 has 1536 divisors, whose sum is σ = 2316074342400. Its totient is φ = 195084288000.

The previous prime is 678348943973. The next prime is 678348944029. The reversal of 678348944000 is 449843876.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6003087944 + ... + 6003088056.

It is an arithmetic number, because the mean of its divisors is an integer number (1507860900).

Almost surely, 2^678348944000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 678348944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158037171200).

678348944000 is an abundant number, since it is smaller than the sum of its proper divisors (1637725398400).

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

678348944000 is a wasteful number, since it uses less digits than its factorization.

678348944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 53.

The spelling of 678348944000 in words is "six hundred seventy-eight billion, three hundred forty-eight million, nine hundred forty-four thousand".