6679584000 has 432 divisors, whose sum is σ = 24954296640. Its totient is φ = 1779148800.

The previous prime is 6679583993. The next prime is 6679584001. The reversal of 6679584000 is 4859766.

6679584000 is a `hidden beast` number, since 6 + 67 + 9 + 584 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 (6679584001) 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, 7775571 + ... + 7776429.

Almost surely, 2^6679584000 is an apocalyptic number.

6679584000 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 6679584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12477148320).

6679584000 is an abundant number, since it is smaller than the sum of its proper divisors (18274712640).

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

6679584000 is an frugal number, since it uses more digits than its factorization.

6679584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 6679584000 is about 81728.7220015094. The cubic root of 6679584000 is about 1883.2868411179.

The spelling of 6679584000 in words is "six billion, six hundred seventy-nine million, five hundred eighty-four thousand".