678484103760 has 200 divisors, whose sum is σ = 2369499107976. Its totient is φ = 179929175040.

The previous prime is 678484103753. The next prime is 678484103767. The reversal of 678484103760 is 67301484876.

678484103760 is a `hidden beast` number, since 6 + 78 + 484 + 1 + 0 + 37 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (678484103753) and next prime (678484103767).

It can be written as a sum of positive squares in 4 ways, for example, as 76003873344 + 602480230416 = 275688^2 + 776196^2 .

It is a super-2 number, since 2×678484103760² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 678484103697 and 678484103706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678484103767) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 883642 + ... + 1462118.

Almost surely, 2^678484103760 is an apocalyptic number.

678484103760 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 678484103760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184749553988).

678484103760 is an abundant number, since it is smaller than the sum of its proper divisors (1691015004216).

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

678484103760 is a wasteful number, since it uses less digits than its factorization.

678484103760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578683 (or 578668 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 678484103760 in words is "six hundred seventy-eight billion, four hundred eighty-four million, one hundred three thousand, seven hundred sixty".