6683137920 has 384 divisors, whose sum is σ = 24669010080. Its totient is φ = 1661337600.

The previous prime is 6683137907. The next prime is 6683137927. The reversal of 6683137920 is 297313866.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6683137927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12827260 + ... + 12827780.

Almost surely, 2^6683137920 is an apocalyptic number.

6683137920 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 6683137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12334505040).

6683137920 is an abundant number, since it is smaller than the sum of its proper divisors (17985872160).

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

6683137920 is a wasteful number, since it uses less digits than its factorization.

6683137920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6683137920 is about 81750.4612831023. The cubic root of 6683137920 is about 1883.6207872684.

The spelling of 6683137920 in words is "six billion, six hundred eighty-three million, one hundred thirty-seven thousand, nine hundred twenty".