6679756800 has 408 divisors, whose sum is σ = 24704262080. Its totient is φ = 1769472000.

The previous prime is 6679756799. The next prime is 6679756817. The reversal of 6679756800 is 86579766.

It is a happy number.

6679756800 is a `hidden beast` number, since 6 + 6 + 79 + 7 + 568 + 0 + 0 = 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 23 ways as a sum of consecutive naturals, for example, 44236725 + ... + 44236875.

Almost surely, 2^6679756800 is an apocalyptic number.

6679756800 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 6679756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12352131040).

6679756800 is an abundant number, since it is smaller than the sum of its proper divisors (18024505280).

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

6679756800 is an equidigital number, since it uses as much as digits as its factorization.

6679756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The square root of 6679756800 is about 81729.7791505642. The cubic root of 6679756800 is about 1883.3030811092.

The spelling of 6679756800 in words is "six billion, six hundred seventy-nine million, seven hundred fifty-six thousand, eight hundred".