678210438456320 has 1056 divisors, whose sum is σ = 2084116549337088. Its totient is φ = 207235252224000.

The previous prime is 678210438456311. The next prime is 678210438456323. The reversal of 678210438456320 is 23654834012876.

It is a super-2 number, since 2×678210438456320² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 678210438456320.

It is not an unprimeable number, because it can be changed into a prime (678210438456323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82799463425 + ... + 82799471615.

Almost surely, 2^{678210438456320} 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 678210438456320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1042058274668544).

678210438456320 is an abundant number, since it is smaller than the sum of its proper divisors (1405906110880768).

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

678210438456320 is a wasteful number, since it uses less digits than its factorization.

678210438456320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8619 (or 8590 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 59.

The spelling of 678210438456320 in words is "six hundred seventy-eight trillion, two hundred ten billion, four hundred thirty-eight million, four hundred fifty-six thousand, three hundred twenty".