6705338640 has 960 divisors, whose sum is σ = 29800949760. Its totient is φ = 1207664640.

The previous prime is 6705338597. The next prime is 6705338641. The reversal of 6705338640 is 468335076.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 6705338592 and 6705338601.

It is not an unprimeable number, because it can be changed into a prime (6705338641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 59339224 + ... + 59339336.

It is an arithmetic number, because the mean of its divisors is an integer number (31042656).

Almost surely, 2^6705338640 is an apocalyptic number.

6705338640 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 6705338640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14900474880).

6705338640 is an abundant number, since it is smaller than the sum of its proper divisors (23095611120).

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

6705338640 is a wasteful number, since it uses less digits than its factorization.

6705338640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 6705338640 is about 81886.1321592368. The cubic root of 6705338640 is about 1885.7042156749.

The spelling of 6705338640 in words is "six billion, seven hundred five million, three hundred thirty-eight thousand, six hundred forty".