6705106464 has 192 divisors, whose sum is σ = 21147678720. Its totient is φ = 1818685440.

The previous prime is 6705106423. The next prime is 6705106481. The reversal of 6705106464 is 4646015076.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2146824 + ... + 2149944.

It is an arithmetic number, because the mean of its divisors is an integer number (110144160).

Almost surely, 2^6705106464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6705106464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10573839360).

6705106464 is an abundant number, since it is smaller than the sum of its proper divisors (14442572256).

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

6705106464 is a wasteful number, since it uses less digits than its factorization.

6705106464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303 (or 3295 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 6705106464 is about 81884.7144710171. The cubic root of 6705106464 is about 1885.6824509121.

The spelling of 6705106464 in words is "six billion, seven hundred five million, one hundred six thousand, four hundred sixty-four".