6866640000 has 960 divisors, whose sum is σ = 29347480800. Its totient is φ = 1566720000.

The previous prime is 6866639999. The next prime is 6866640007. The reversal of 6866640000 is 466686.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is not an unprimeable number, because it can be changed into a prime (6866640007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 403919992 + ... + 403920008.

Almost surely, 2^6866640000 is an apocalyptic number.

6866640000 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 6866640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14673740400).

6866640000 is an abundant number, since it is smaller than the sum of its proper divisors (22480840800).

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

6866640000 is a wasteful number, since it uses less digits than its factorization.

6866640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6866640000 is about 82865.1917272868. The cubic root of 6866640000 is about 1900.7051860675.

The spelling of 6866640000 in words is "six billion, eight hundred sixty-six million, six hundred forty thousand".