679644000 has 768 divisors, whose sum is σ = 3019161600. Its totient is φ = 145152000.

The previous prime is 679643977. The next prime is 679644001. The reversal of 679644000 is 446976.

679644000 is a `hidden beast` number, since 6 + 7 + 9 + 644 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679644001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21923985 + ... + 21924015.

It is an arithmetic number, because the mean of its divisors is an integer number (3931200).

Almost surely, 2^679644000 is an apocalyptic number.

679644000 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 679644000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509580800).

679644000 is an abundant number, since it is smaller than the sum of its proper divisors (2339517600).

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

679644000 is a wasteful number, since it uses less digits than its factorization.

679644000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 679644000 is about 26069.9827387745. The cubic root of 679644000 is about 879.2124496671.

The spelling of 679644000 in words is "six hundred seventy-nine million, six hundred forty-four thousand".