6683688000 has 896 divisors, whose sum is σ = 27958694400. Its totient is φ = 1548288000.

The previous prime is 6683687987. The next prime is 6683688001. The reversal of 6683688000 is 8863866.

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

It is not an unprimeable number, because it can be changed into a prime (6683688001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 68903952 + ... + 68904048.

It is an arithmetic number, because the mean of its divisors is an integer number (31203900).

Almost surely, 2^6683688000 is an apocalyptic number.

6683688000 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 6683688000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13979347200).

6683688000 is an abundant number, since it is smaller than the sum of its proper divisors (21275006400).

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

6683688000 is a wasteful number, since it uses less digits than its factorization.

6683688000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 147 counting only the distinct ones).

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

The square root of 6683688000 is about 81753.8255985614. The cubic root of 6683688000 is about 1883.6724652730.

The spelling of 6683688000 in words is "six billion, six hundred eighty-three million, six hundred eighty-eight thousand".