6681089520 has 320 divisors, whose sum is σ = 26445450240. Its totient is φ = 1518676992.

The previous prime is 6681089507. The next prime is 6681089521. The reversal of 6681089520 is 259801866.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 (6681089521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2977519 + ... + 2979761.

It is an arithmetic number, because the mean of its divisors is an integer number (82642032).

Almost surely, 2^6681089520 is an apocalyptic number.

6681089520 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 6681089520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13222725120).

6681089520 is an abundant number, since it is smaller than the sum of its proper divisors (19764360720).

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

6681089520 is a wasteful number, since it uses less digits than its factorization.

6681089520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2469 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 6681089520 is about 81737.9319532859. The cubic root of 6681089520 is about 1883.4283226339.

The spelling of 6681089520 in words is "six billion, six hundred eighty-one million, eighty-nine thousand, five hundred twenty".