6677142742296 has 1536 divisors, whose sum is σ = 23466810931200. Its totient is φ = 1755758592000.

The previous prime is 6677142742273. The next prime is 6677142742297. The reversal of 6677142742296 is 6922472417766.

6677142742296 is a `hidden beast` number, since 6 + 6 + 7 + 71 + 4 + 274 + 2 + 296 = 666.

It is a super-2 number, since 2×6677142742296² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6677142742297) 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 383 ways as a sum of consecutive naturals, for example, 23762073676 + ... + 23762073956.

It is an arithmetic number, because the mean of its divisors is an integer number (15277871700).

Almost surely, 2^{6677142742296} 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 6677142742296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11733405465600).

6677142742296 is an abundant number, since it is smaller than the sum of its proper divisors (16789668188904).

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

6677142742296 is a wasteful number, since it uses less digits than its factorization.

6677142742296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 447 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 63.

The spelling of 6677142742296 in words is "six trillion, six hundred seventy-seven billion, one hundred forty-two million, seven hundred forty-two thousand, two hundred ninety-six".