679874840064 has 360 divisors, whose sum is σ = 2367077200488. Its totient is φ = 194248212480.

The previous prime is 679874840059. The next prime is 679874840129. The reversal of 679874840064 is 460048478976.

679874840064 is a `hidden beast` number, since 6 + 7 + 98 + 7 + 484 + 0 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 679874839983 and 679874840010.

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 35 ways as a sum of consecutive naturals, for example, 6040624 + ... + 6152144.

Almost surely, 2^679874840064 is an apocalyptic number.

679874840064 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 679874840064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183538600244).

679874840064 is an abundant number, since it is smaller than the sum of its proper divisors (1687202360424).

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

679874840064 is an equidigital number, since it uses as much as digits as its factorization.

679874840064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111568 (or 111533 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 679874840064 in words is "six hundred seventy-nine billion, eight hundred seventy-four million, eight hundred forty thousand, sixty-four".