678628291728600 has 288 divisors, whose sum is σ = 2285836678897200. Its totient is φ = 180429730329600.

The previous prime is 678628291728557. The next prime is 678628291728659. The reversal of 678628291728600 is 6827192826876.

678628291728600 is a `hidden beast` number, since 6 + 7 + 8 + 6 + 2 + 8 + 2 + 9 + 1 + 7 + 2 + 8 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2328940915 + ... + 2329232285.

Almost surely, 2^{678628291728600} is an apocalyptic number.

678628291728600 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 678628291728600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142918339448600).

678628291728600 is an abundant number, since it is smaller than the sum of its proper divisors (1607208387168600).

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

678628291728600 is a wasteful number, since it uses less digits than its factorization.

678628291728600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295235 (or 295223 counting only the distinct ones).

The product of its (nonzero) digits is 390168576, while the sum is 72.

The spelling of 678628291728600 in words is "six hundred seventy-eight trillion, six hundred twenty-eight billion, two hundred ninety-one million, seven hundred twenty-eight thousand, six hundred".