6705873408 has 160 divisors (see below), whose sum is σ = 19710738432. Its totient is φ = 2012774400.

The previous prime is 6705873373. The next prime is 6705873409. The reversal of 6705873408 is 8043785076.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (6705873409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 814593 + ... + 822783.

Almost surely, 2^6705873408 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 6705873408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9855369216).

6705873408 is an abundant number, since it is smaller than the sum of its proper divisors (13004865024).

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

6705873408 is a wasteful number, since it uses less digits than its factorization.

6705873408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8266 (or 8250 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The square root of 6705873408 is about 81889.3974089442. The cubic root of 6705873408 is about 1885.7543442625.

The spelling of 6705873408 in words is "six billion, seven hundred five million, eight hundred seventy-three thousand, four hundred eight".