6705475920 has 640 divisors, whose sum is σ = 28753159680. Its totient is φ = 1411153920.

The previous prime is 6705475901. The next prime is 6705475949. The reversal of 6705475920 is 295745076.

6705475920 is a `hidden beast` number, since 6 + 7 + 0 + 54 + 7 + 592 + 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5250322 + ... + 5251598.

It is an arithmetic number, because the mean of its divisors is an integer number (44926812).

Almost surely, 2^6705475920 is an apocalyptic number.

6705475920 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 6705475920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14376579840).

6705475920 is an abundant number, since it is smaller than the sum of its proper divisors (22047683760).

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

6705475920 is a wasteful number, since it uses less digits than its factorization.

6705475920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 6705475920 is about 81886.9703921204. The cubic root of 6705475920 is about 1885.7170844114.

The spelling of 6705475920 in words is "six billion, seven hundred five million, four hundred seventy-five thousand, nine hundred twenty".