6685879200 has 1152 divisors, whose sum is σ = 30742032384. Its totient is φ = 1226649600.

The previous prime is 6685879007. The next prime is 6685879229. The reversal of 6685879200 is 29785866.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 290690389 + ... + 290690411.

It is an arithmetic number, because the mean of its divisors is an integer number (26685792).

Almost surely, 2^6685879200 is an apocalyptic number.

6685879200 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 6685879200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15371016192).

6685879200 is an abundant number, since it is smaller than the sum of its proper divisors (24056153184).

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

6685879200 is a wasteful number, since it uses less digits than its factorization.

6685879200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 6685879200 is about 81767.2257081039. The cubic root of 6685879200 is about 1883.8782923618.

The spelling of 6685879200 in words is "six billion, six hundred eighty-five million, eight hundred seventy-nine thousand, two hundred".