678206365760 has 336 divisors, whose sum is σ = 2052525443328. Its totient is φ = 211070361600.

The previous prime is 678206365699. The next prime is 678206365799. The reversal of 678206365760 is 67563602876.

It is a super-3 number, since 3×678206365760³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 678206365696 and 678206365705.

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 47 ways as a sum of consecutive naturals, for example, 131254697 + ... + 131259863.

Almost surely, 2^678206365760 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 678206365760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026262721664).

678206365760 is an abundant number, since it is smaller than the sum of its proper divisors (1374319077568).

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

678206365760 is a wasteful number, since it uses less digits than its factorization.

678206365760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5970 (or 5953 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 56.

The spelling of 678206365760 in words is "six hundred seventy-eight billion, two hundred six million, three hundred sixty-five thousand, seven hundred sixty".