679936320 has 336 divisors, whose sum is σ = 2767340160. Its totient is φ = 149925888.

The previous prime is 679936303. The next prime is 679936321. The reversal of 679936320 is 23639976.

679936320 is a `hidden beast` number, since 6 + 7 + 9 + 9 + 3 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679936321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 584059 + ... + 585221.

Almost surely, 2^679936320 is an apocalyptic number.

679936320 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 679936320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383670080).

679936320 is an abundant number, since it is smaller than the sum of its proper divisors (2087403840).

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

679936320 is a wasteful number, since it uses less digits than its factorization.

679936320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 1209 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 679936320 is about 26075.5885839611. The cubic root of 679936320 is about 879.3384835636.

The spelling of 679936320 in words is "six hundred seventy-nine million, nine hundred thirty-six thousand, three hundred twenty".