6706041300 has 288 divisors, whose sum is σ = 24776192000. Its totient is φ = 1524251520.

The previous prime is 6706041259. The next prime is 6706041313. The reversal of 6706041300 is 31406076.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 3760209 + ... + 3761991.

Almost surely, 2^6706041300 is an apocalyptic number.

6706041300 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 6706041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12388096000).

6706041300 is an abundant number, since it is smaller than the sum of its proper divisors (18070150700).

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

6706041300 is a wasteful number, since it uses less digits than its factorization.

6706041300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 1999 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 6706041300 is about 81890.4225169220. The cubic root of 6706041300 is about 1885.7700817316.

Adding to 6706041300 its reverse (31406076), we get a palindrome (6737447376).

The spelling of 6706041300 in words is "six billion, seven hundred six million, forty-one thousand, three hundred".