6677872068 has 192 divisors, whose sum is σ = 19573456896. Its totient is φ = 1728000000.

The previous prime is 6677872057. The next prime is 6677872087. The reversal of 6677872068 is 8602787766.

It is a junction number, because it is equal to n+sod(n) for n = 6677871999 and 6677872017.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11110968 + ... + 11111568.

It is an arithmetic number, because the mean of its divisors is an integer number (101945088).

Almost surely, 2^6677872068 is an apocalyptic number.

6677872068 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 6677872068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9786728448).

6677872068 is an abundant number, since it is smaller than the sum of its proper divisors (12895584828).

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

6677872068 is a wasteful number, since it uses less digits than its factorization.

6677872068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 57.

The square root of 6677872068 is about 81718.2480722635. The cubic root of 6677872068 is about 1883.1259361632.

The spelling of 6677872068 in words is "six billion, six hundred seventy-seven million, eight hundred seventy-two thousand, sixty-eight".