6706461960 has 256 divisors, whose sum is σ = 24908083200. Its totient is φ = 1591084800.

The previous prime is 6706461887. The next prime is 6706461967. The reversal of 6706461960 is 691646076.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (6706461967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 552355 + ... + 564365.

It is an arithmetic number, because the mean of its divisors is an integer number (97297200).

Almost surely, 2^6706461960 is an apocalyptic number.

6706461960 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 6706461960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454041600).

6706461960 is an abundant number, since it is smaller than the sum of its proper divisors (18201621240).

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

6706461960 is a wasteful number, since it uses less digits than its factorization.

6706461960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12089 (or 12079 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 6706461960 is about 81892.9909088684. The cubic root of 6706461960 is about 1885.8095114249.

The spelling of 6706461960 in words is "six billion, seven hundred six million, four hundred sixty-one thousand, nine hundred sixty".