6677829233152 has 480 divisors, whose sum is σ = 17363508110784. Its totient is φ = 2536095744000.

The previous prime is 6677829233149. The next prime is 6677829233167. The reversal of 6677829233152 is 2513329287766.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2384086152 + ... + 2384088952.

Almost surely, 2^{6677829233152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6677829233152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8681754055392).

6677829233152 is an abundant number, since it is smaller than the sum of its proper divisors (10685678877632).

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

6677829233152 is a wasteful number, since it uses less digits than its factorization.

6677829233152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3037 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 61.

The spelling of 6677829233152 in words is "six trillion, six hundred seventy-seven billion, eight hundred twenty-nine million, two hundred thirty-three thousand, one hundred fifty-two".