678683568806100 has 864 divisors, whose sum is σ = 2718633701168000. Its totient is φ = 143879900313600.

The previous prime is 678683568806053. The next prime is 678683568806171. The reversal of 678683568806100 is 1608865386876.

678683568806100 is a `hidden beast` number, since 67 + 86 + 8 + 356 + 8 + 80 + 61 + 0 + 0 = 666.

It is a super-2 number, since 2×678683568806100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 76489656 + ... + 84900144.

Almost surely, 2^{678683568806100} is an apocalyptic number.

678683568806100 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 678683568806100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1359316850584000).

678683568806100 is an abundant number, since it is smaller than the sum of its proper divisors (2039950132361900).

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

678683568806100 is a wasteful number, since it uses less digits than its factorization.

678683568806100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8410566 (or 8410542 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 678683568806100 in words is "six hundred seventy-eight trillion, six hundred eighty-three billion, five hundred sixty-eight million, eight hundred six thousand, one hundred".