6706062400 has 84 divisors (see below), whose sum is σ = 16563510180. Its totient is φ = 2672281600.

The previous prime is 6706062379. The next prime is 6706062401. The reversal of 6706062400 is 42606076.

It can be written as a sum of positive squares in 6 ways, for example, as 1566893056 + 5139169344 = 39584^2 + 71688^2 .

It is not an unprimeable number, because it can be changed into a prime (6706062401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 422610 + ... + 438190.

It is an arithmetic number, because the mean of its divisors is an integer number (197184645).

Almost surely, 2^6706062400 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 6706062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8281755090).

6706062400 is an abundant number, since it is smaller than the sum of its proper divisors (9857447780).

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

6706062400 is a wasteful number, since it uses less digits than its factorization.

6706062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15872 (or 15857 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 6706062400 is about 81890.5513475151. The cubic root of 6706062400 is about 1885.7720595356.

Adding to 6706062400 its reverse (42606076), we get a palindrome (6748668476).

The spelling of 6706062400 in words is "six billion, seven hundred six million, sixty-two thousand, four hundred".