679476432384 has 320 divisors, whose sum is σ = 2046694003200. Its totient is φ = 222538973184.

The previous prime is 679476432377. The next prime is 679476432431. The reversal of 679476432384 is 483234674976.

679476432384 is a `hidden beast` number, since 67 + 9 + 476 + 4 + 3 + 23 + 84 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205464459 + ... + 205467765.

It is an arithmetic number, because the mean of its divisors is an integer number (6395918760).

Almost surely, 2^679476432384 is an apocalyptic number.

679476432384 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 679476432384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1023347001600).

679476432384 is an abundant number, since it is smaller than the sum of its proper divisors (1367217570816).

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

679476432384 is a wasteful number, since it uses less digits than its factorization.

679476432384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3590 (or 3568 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 63.

The spelling of 679476432384 in words is "six hundred seventy-nine billion, four hundred seventy-six million, four hundred thirty-two thousand, three hundred eighty-four".