6677775720 has 768 divisors, whose sum is σ = 29472768000. Its totient is φ = 1269043200.

The previous prime is 6677775703. The next prime is 6677775721. The reversal of 6677775720 is 275777766.

6677775720 is a `hidden beast` number, since 6 + 67 + 7 + 7 + 7 + 572 + 0 = 666.

It is a super-3 number, since 3×6677775720³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (6677775721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16326876 + ... + 16327284.

It is an arithmetic number, because the mean of its divisors is an integer number (38376000).

Almost surely, 2^6677775720 is an apocalyptic number.

6677775720 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 6677775720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14736384000).

6677775720 is an abundant number, since it is smaller than the sum of its proper divisors (22794992280).

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

6677775720 is a wasteful number, since it uses less digits than its factorization.

6677775720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 6050520, while the sum is 54.

The square root of 6677775720 is about 81717.6585567648. The cubic root of 6677775720 is about 1883.1168795711.

The spelling of 6677775720 in words is "six billion, six hundred seventy-seven million, seven hundred seventy-five thousand, seven hundred twenty".