6683938560 has 1008 divisors, whose sum is σ = 28149559200. Its totient is φ = 1504935936.

The previous prime is 6683938517. The next prime is 6683938607. The reversal of 6683938560 is 658393866.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6683938497 and 6683938506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 230480626 + ... + 230480654.

It is an arithmetic number, because the mean of its divisors is an integer number (27926150).

Almost surely, 2^6683938560 is an apocalyptic number.

6683938560 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 6683938560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14074779600).

6683938560 is an abundant number, since it is smaller than the sum of its proper divisors (21465620640).

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

6683938560 is a wasteful number, since it uses less digits than its factorization.

6683938560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The square root of 6683938560 is about 81755.3579895532. The cubic root of 6683938560 is about 1883.6960035289.

The spelling of 6683938560 in words is "six billion, six hundred eighty-three million, nine hundred thirty-eight thousand, five hundred sixty".