6687233280 has 432 divisors, whose sum is σ = 28480932480. Its totient is φ = 1410711552.

The previous prime is 6687233227. The next prime is 6687233281. The reversal of 6687233280 is 823327866.

6687233280 is a `hidden beast` number, since 66 + 87 + 233 + 280 = 666.

It is a super-2 number, since 2×6687233280² = 89438177882279116800, which contains 22 as substring.

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 (6687233281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1045131 + ... + 1051509.

Almost surely, 2^6687233280 is an apocalyptic number.

6687233280 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 6687233280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14240466240).

6687233280 is an abundant number, since it is smaller than the sum of its proper divisors (21793699200).

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

6687233280 is a wasteful number, since it uses less digits than its factorization.

6687233280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6426 (or 6409 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 6687233280 is about 81775.5053790559. The cubic root of 6687233280 is about 1884.0054633566.

The spelling of 6687233280 in words is "six billion, six hundred eighty-seven million, two hundred thirty-three thousand, two hundred eighty".