679468608000 has 2560 divisors, whose sum is σ = 3217294080000. Its totient is φ = 137487974400.

The previous prime is 679468607981. The next prime is 679468608001. The reversal of 679468608000 is 806864976.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (679468608001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4560191926 + ... + 4560192074.

It is an arithmetic number, because the mean of its divisors is an integer number (1256755500).

Almost surely, 2^679468608000 is an apocalyptic number.

679468608000 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 679468608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608647040000).

679468608000 is an abundant number, since it is smaller than the sum of its proper divisors (2537825472000).

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

679468608000 is a wasteful number, since it uses less digits than its factorization.

679468608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 679468608000 in words is "six hundred seventy-nine billion, four hundred sixty-eight million, six hundred eight thousand".