6677987328 has 360 divisors, whose sum is σ = 21696003252. Its totient is φ = 2038431744.

The previous prime is 6677987297. The next prime is 6677987341. The reversal of 6677987328 is 8237897766.

It can be written as a sum of positive squares in 2 ways, for example, as 5780865024 + 897122304 = 76032^2 + 29952^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 180486126 + ... + 180486162.

Almost surely, 2^6677987328 is an apocalyptic number.

6677987328 is a gapful number since it is divisible by the number (68) 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 6677987328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10848001626).

6677987328 is an abundant number, since it is smaller than the sum of its proper divisors (15018015924).

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

6677987328 is an frugal number, since it uses more digits than its factorization.

6677987328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 59 counting only the distinct ones).

The product of its digits is 42674688, while the sum is 63.

The square root of 6677987328 is about 81718.9532972615. The cubic root of 6677987328 is about 1883.1367703453.

The spelling of 6677987328 in words is "six billion, six hundred seventy-seven million, nine hundred eighty-seven thousand, three hundred twenty-eight".