6705338760 has 80 divisors (see below), whose sum is σ = 22537399500. Its totient is φ = 1788089472.

The previous prime is 6705338749. The next prime is 6705338777. The reversal of 6705338760 is 678335076.

It can be written as a sum of positive squares in 2 ways, for example, as 6407362116 + 297976644 = 80046^2 + 17262^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

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 19 ways as a sum of consecutive naturals, for example, 1031535 + ... + 1038014.

Almost surely, 2^6705338760 is an apocalyptic number.

6705338760 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6705338760 is an abundant number, since it is smaller than the sum of its proper divisors (15832060740).

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

6705338760 is a wasteful number, since it uses less digits than its factorization.

6705338760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069572 (or 2069559 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 6705338760 is about 81886.1328919616. The cubic root of 6705338760 is about 1885.7042269239.

The spelling of 6705338760 in words is "six billion, seven hundred five million, three hundred thirty-eight thousand, seven hundred sixty".