678017894400 has 1728 divisors, whose sum is σ = 3074124493440. Its totient is φ = 138726604800.

The previous prime is 678017894399. The next prime is 678017894413. The reversal of 678017894400 is 4498710876.

It is a happy number.

678017894400 is a `hidden beast` number, since 6 + 7 + 80 + 1 + 78 + 94 + 400 = 666.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 3441715102 + ... + 3441715298.

It is an arithmetic number, because the mean of its divisors is an integer number (1779007230).

Almost surely, 2^678017894400 is an apocalyptic number.

678017894400 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 678017894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1537062246720).

678017894400 is an abundant number, since it is smaller than the sum of its proper divisors (2396106599040).

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

678017894400 is a wasteful number, since it uses less digits than its factorization.

678017894400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 678017894400 in words is "six hundred seventy-eight billion, seventeen million, eight hundred ninety-four thousand, four hundred".