678528396479088 has 480 divisors, whose sum is σ = 2033973317376000. Its totient is φ = 210688550553600.

The previous prime is 678528396479071. The next prime is 678528396479123. The reversal of 678528396479088 is 880974693825876.

678528396479088 is a `hidden beast` number, since 6 + 7 + 8 + 5 + 28 + 39 + 6 + 479 + 0 + 88 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 678528396478989 and 678528396479007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 78000730963 + ... + 78000739661.

It is an arithmetic number, because the mean of its divisors is an integer number (4237444411200).

Almost surely, 2^{678528396479088} 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 678528396479088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016986658688000).

678528396479088 is an abundant number, since it is smaller than the sum of its proper divisors (1355444920896912).

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

678528396479088 is a wasteful number, since it uses less digits than its factorization.

678528396479088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10541 (or 10532 counting only the distinct ones).

The product of its (nonzero) digits is 70230343680, while the sum is 90.

The spelling of 678528396479088 in words is "six hundred seventy-eight trillion, five hundred twenty-eight billion, three hundred ninety-six million, four hundred seventy-nine thousand, eighty-eight".