678445290851328 has 7040 divisors, whose sum is σ = 2988032560128000. Its totient is φ = 150644087193600.

The previous prime is 678445290851323. The next prime is 678445290851371. The reversal of 678445290851328 is 823158092544876.

678445290851328 is a `hidden beast` number, since 6 + 7 + 8 + 4 + 4 + 5 + 290 + 8 + 5 + 1 + 328 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (678445290851323) by changing a digit.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 5178971685823 + ... + 5178971685953.

It is an arithmetic number, because the mean of its divisors is an integer number (424436443200).

It is a 1-persistent number, because it is pandigital, but 2⋅678445290851328 = 1356890581702656 is not.

Almost surely, 2^{678445290851328} 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 678445290851328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494016280064000).

678445290851328 is an abundant number, since it is smaller than the sum of its proper divisors (2309587269276672).

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

678445290851328 is a wasteful number, since it uses less digits than its factorization.

678445290851328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 678445290851328 in words is "six hundred seventy-eight trillion, four hundred forty-five billion, two hundred ninety million, eight hundred fifty-one thousand, three hundred twenty-eight".