678707804160 has 768 divisors, whose sum is σ = 2570981212800. Its totient is φ = 169246457856.

The previous prime is 678707804153. The next prime is 678707804221. The reversal of 678707804160 is 61408707876.

It is a tau number, because it is divible by the number of its divisors (768).

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 = 678707804097 and 678707804106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 925931154 + ... + 925931886.

Almost surely, 2^678707804160 is an apocalyptic number.

678707804160 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 678707804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285490606400).

678707804160 is an abundant number, since it is smaller than the sum of its proper divisors (1892273408640).

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

678707804160 is a wasteful number, since it uses less digits than its factorization.

678707804160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 678707804160 in words is "six hundred seventy-eight billion, seven hundred seven million, eight hundred four thousand, one hundred sixty".