678391580160 has 960 divisors, whose sum is σ = 2847599884800. Its totient is φ = 149956116480.

The previous prime is 678391580147. The next prime is 678391580189. The reversal of 678391580160 is 61085193876.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 678391580097 and 678391580106.

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, 464969511 + ... + 464970969.

It is an arithmetic number, because the mean of its divisors is an integer number (2966249880).

Almost surely, 2^678391580160 is an apocalyptic number.

678391580160 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 678391580160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423799942400).

678391580160 is an abundant number, since it is smaller than the sum of its proper divisors (2169208304640).

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

678391580160 is a wasteful number, since it uses less digits than its factorization.

678391580160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 678391580160 in words is "six hundred seventy-eight billion, three hundred ninety-one million, five hundred eighty thousand, one hundred sixty".