6864681600 has 576 divisors, whose sum is σ = 29655512640. Its totient is φ = 1476034560.

The previous prime is 6864681587. The next prime is 6864681631. The reversal of 6864681600 is 61864686.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3426199 + ... + 3428201.

It is an arithmetic number, because the mean of its divisors is an integer number (51485265).

Almost surely, 2^6864681600 is an apocalyptic number.

6864681600 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 6864681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14827756320).

6864681600 is an abundant number, since it is smaller than the sum of its proper divisors (22790831040).

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

6864681600 is a wasteful number, since it uses less digits than its factorization.

6864681600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2037 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 6864681600 is about 82853.3741014812. The cubic root of 6864681600 is about 1900.5244720177.

The spelling of 6864681600 in words is "six billion, eight hundred sixty-four million, six hundred eighty-one thousand, six hundred".