6676709760 has 384 divisors, whose sum is σ = 26968930560. Its totient is φ = 1490227200.

The previous prime is 6676709747. The next prime is 6676709777. The reversal of 6676709760 is 679076766.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 6676709697 and 6676709706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1731835 + ... + 1735685.

It is an arithmetic number, because the mean of its divisors is an integer number (70231590).

Almost surely, 2^6676709760 is an apocalyptic number.

6676709760 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 6676709760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13484465280).

6676709760 is an abundant number, since it is smaller than the sum of its proper divisors (20292220800).

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

6676709760 is a wasteful number, since it uses less digits than its factorization.

6676709760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926 (or 3911 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The square root of 6676709760 is about 81711.1360831558. The cubic root of 6676709760 is about 1883.0166748437.

The spelling of 6676709760 in words is "six billion, six hundred seventy-six million, seven hundred nine thousand, seven hundred sixty".