6706377720 has 256 divisors, whose sum is σ = 26659584000. Its totient is φ = 1466201088.

The previous prime is 6706377701. The next prime is 6706377767. The reversal of 6706377720 is 277736076.

6706377720 is a `hidden beast` number, since 6 + 7 + 0 + 637 + 7 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 154596 + ... + 193164.

It is an arithmetic number, because the mean of its divisors is an integer number (104139000).

Almost surely, 2^6706377720 is an apocalyptic number.

6706377720 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 6706377720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13329792000).

6706377720 is an abundant number, since it is smaller than the sum of its proper divisors (19953206280).

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

6706377720 is a wasteful number, since it uses less digits than its factorization.

6706377720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38619 (or 38609 counting only the distinct ones).

The product of its (nonzero) digits is 518616, while the sum is 45.

The square root of 6706377720 is about 81892.4765775221. The cubic root of 6706377720 is about 1885.8016154951.

The spelling of 6706377720 in words is "six billion, seven hundred six million, three hundred seventy-seven thousand, seven hundred twenty".