6706445760 has 896 divisors, whose sum is σ = 28870656000. Its totient is φ = 1463132160.

The previous prime is 6706445749. The next prime is 6706445797. The reversal of 6706445760 is 675446076.

It is a happy number.

6706445760 is a `hidden beast` number, since 6 + 70 + 6 + 4 + 4 + 576 + 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 polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 91869084 + ... + 91869156.

Almost surely, 2^6706445760 is an apocalyptic number.

6706445760 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 6706445760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14435328000).

6706445760 is an abundant number, since it is smaller than the sum of its proper divisors (22164210240).

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

6706445760 is a wasteful number, since it uses less digits than its factorization.

6706445760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 6706445760 is about 81892.8919992450. The cubic root of 6706445760 is about 1885.8079929820.

The spelling of 6706445760 in words is "six billion, seven hundred six million, four hundred forty-five thousand, seven hundred sixty".