6709506144 has 288 divisors, whose sum is σ = 20871351648. Its totient is φ = 1878835200.

The previous prime is 6709506143. The next prime is 6709506163. The reversal of 6709506144 is 4416059076.

It is a junction number, because it is equal to n+sod(n) for n = 6709506096 and 6709506105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6709506143) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 12045514 + ... + 12046070.

It is an arithmetic number, because the mean of its divisors is an integer number (72469971).

Almost surely, 2^6709506144 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 6709506144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10435675824).

6709506144 is an abundant number, since it is smaller than the sum of its proper divisors (14161845504).

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

6709506144 is a wasteful number, since it uses less digits than its factorization.

6709506144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 6709506144 is about 81911.5751527219. The cubic root of 6709506144 is about 1886.0948025757.

The spelling of 6709506144 in words is "six billion, seven hundred nine million, five hundred six thousand, one hundred forty-four".