678145640960 has 160 divisors (see below), whose sum is σ = 1720162224000. Its totient is φ = 255686492160.

The previous prime is 678145640957. The next prime is 678145640983. The reversal of 678145640960 is 69046541876.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 678145640896 and 678145640905.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9644330 + ... + 9714390.

It is an arithmetic number, because the mean of its divisors is an integer number (10751013900).

Almost surely, 2^678145640960 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 678145640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860081112000).

678145640960 is an abundant number, since it is smaller than the sum of its proper divisors (1042016583040).

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

678145640960 is a wasteful number, since it uses less digits than its factorization.

678145640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70302 (or 70286 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 56.

The spelling of 678145640960 in words is "six hundred seventy-eight billion, one hundred forty-five million, six hundred forty thousand, nine hundred sixty".