678880149984 has 288 divisors, whose sum is σ = 1990013276160. Its totient is φ = 219459373056.

The previous prime is 678880149979. The next prime is 678880149989. The reversal of 678880149984 is 489941088876.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (678880149979) and next prime (678880149989).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (678880149989) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340631292 + ... + 340633284.

It is an arithmetic number, because the mean of its divisors is an integer number (6909768320).

Almost surely, 2^678880149984 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 678880149984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995006638080).

678880149984 is an abundant number, since it is smaller than the sum of its proper divisors (1311133126176).

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

678880149984 is a wasteful number, since it uses less digits than its factorization.

678880149984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 222953472, while the sum is 72.

The spelling of 678880149984 in words is "six hundred seventy-eight billion, eight hundred eighty million, one hundred forty-nine thousand, nine hundred eighty-four".