678081024000 has 832 divisors, whose sum is σ = 2530240527360. Its totient is φ = 179159040000.

The previous prime is 678081023987. The next prime is 678081024007. The reversal of 678081024000 is 420180876.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678081024007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2502143865 + ... + 2502144135.

It is an arithmetic number, because the mean of its divisors is an integer number (3041154480).

Almost surely, 2^678081024000 is an apocalyptic number.

678081024000 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 678081024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1265120263680).

678081024000 is an abundant number, since it is smaller than the sum of its proper divisors (1852159503360).

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

678081024000 is a wasteful number, since it uses less digits than its factorization.

678081024000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 678081024000 in words is "six hundred seventy-eight billion, eighty-one million, twenty-four thousand".