679492468224 has 400 divisors, whose sum is σ = 2088330119568. Its totient is φ = 219863973888.

The previous prime is 679492468183. The next prime is 679492468231. The reversal of 679492468224 is 422864294976.

679492468224 is a `hidden beast` number, since 6 + 7 + 9 + 492 + 46 + 82 + 24 = 666.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 213205959 + ... + 213209145.

Almost surely, 2^679492468224 is an apocalyptic number.

679492468224 is a gapful number since it is divisible by the number (64) 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 679492468224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044165059784).

679492468224 is an abundant number, since it is smaller than the sum of its proper divisors (1408837651344).

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

679492468224 is an equidigital number, since it uses as much as digits as its factorization.

679492468224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3367 (or 3342 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 63.

The spelling of 679492468224 in words is "six hundred seventy-nine billion, four hundred ninety-two million, four hundred sixty-eight thousand, two hundred twenty-four".