679842408960 has 1600 divisors, whose sum is σ = 2901727027584. Its totient is φ = 149962752000.

The previous prime is 679842408899. The next prime is 679842408979. The reversal of 679842408960 is 69804248976.

679842408960 is a `hidden beast` number, since 6 + 79 + 8 + 424 + 0 + 89 + 60 = 666.

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 159 ways as a sum of consecutive naturals, for example, 2994900367 + ... + 2994900593.

Almost surely, 2^679842408960 is an apocalyptic number.

679842408960 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 679842408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450863513792).

679842408960 is an abundant number, since it is smaller than the sum of its proper divisors (2221884618624).

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

679842408960 is a wasteful number, since it uses less digits than its factorization.

679842408960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 679842408960 in words is "six hundred seventy-nine billion, eight hundred forty-two million, four hundred eight thousand, nine hundred sixty".