6675806939760 has 640 divisors, whose sum is σ = 27367368376320. Its totient is φ = 1463596646400.

The previous prime is 6675806939717. The next prime is 6675806939777. The reversal of 6675806939760 is 679396085766.

6675806939760 is a `hidden beast` number, since 6 + 6 + 7 + 580 + 6 + 9 + 39 + 7 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52902340 + ... + 53028380.

It is an arithmetic number, because the mean of its divisors is an integer number (42761513088).

Almost surely, 2^{6675806939760} is an apocalyptic number.

6675806939760 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 6675806939760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13683684188160).

6675806939760 is an abundant number, since it is smaller than the sum of its proper divisors (20691561436560).

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

6675806939760 is a wasteful number, since it uses less digits than its factorization.

6675806939760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126214 (or 126202 counting only the distinct ones).

The product of its (nonzero) digits is 617258880, while the sum is 72.

The spelling of 6675806939760 in words is "six trillion, six hundred seventy-five billion, eight hundred six million, nine hundred thirty-nine thousand, seven hundred sixty".