678848808960 has 1536 divisors, whose sum is σ = 2988969984000. Its totient is φ = 142605287424.

The previous prime is 678848808947. The next prime is 678848808973. The reversal of 678848808960 is 69808848876.

678848808960 is a `hidden beast` number, since 6 + 7 + 8 + 8 + 488 + 0 + 89 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (678848808947) and next prime (678848808973).

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1546352421 + ... + 1546352859.

It is an arithmetic number, because the mean of its divisors is an integer number (1945944000).

Almost surely, 2^678848808960 is an apocalyptic number.

678848808960 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 678848808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1494484992000).

678848808960 is an abundant number, since it is smaller than the sum of its proper divisors (2310121175040).

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

678848808960 is a wasteful number, since it uses less digits than its factorization.

678848808960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 297271296, while the sum is 72.

The spelling of 678848808960 in words is "six hundred seventy-eight billion, eight hundred forty-eight million, eight hundred eight thousand, nine hundred sixty".