6864583680 has 704 divisors, whose sum is σ = 27165818880. Its totient is φ = 1634992128.

The previous prime is 6864583643. The next prime is 6864583709. The reversal of 6864583680 is 863854686.

6864583680 is a `hidden beast` number, since 6 + 86 + 458 + 36 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54051777 + ... + 54051903.

Almost surely, 2^6864583680 is an apocalyptic number.

6864583680 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 6864583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13582909440).

6864583680 is an abundant number, since it is smaller than the sum of its proper divisors (20301235200).

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

6864583680 is a wasteful number, since it uses less digits than its factorization.

6864583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 6864583680 is about 82852.7831759441. The cubic root of 6864583680 is about 1900.5154354130.

The spelling of 6864583680 in words is "six billion, eight hundred sixty-four million, five hundred eighty-three thousand, six hundred eighty".