678341952000 has 1600 divisors, whose sum is σ = 2725048085760. Its totient is φ = 167215104000.

The previous prime is 678341951999. The next prime is 678341952007. The reversal of 678341952000 is 259143876.

678341952000 is a `hidden beast` number, since 6 + 7 + 83 + 41 + 9 + 520 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (678341952007) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6993215952 + ... + 6993216048.

It is a 1-persistent number, because it is pandigital, but 2⋅678341952000 = 1356683904000 is not.

Almost surely, 2^678341952000 is an apocalyptic number.

678341952000 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 678341952000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1362524042880).

678341952000 is an abundant number, since it is smaller than the sum of its proper divisors (2046706133760).

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

678341952000 is an equidigital number, since it uses as much as digits as its factorization.

678341952000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 678341952000 in words is "six hundred seventy-eight billion, three hundred forty-one million, nine hundred fifty-two thousand".