6709606400 has 288 divisors, whose sum is σ = 19307826720. Its totient is φ = 2264924160.

The previous prime is 6709606399. The next prime is 6709606459. The reversal of 6709606400 is 46069076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34764704 + ... + 34764896.

It is an arithmetic number, because the mean of its divisors is an integer number (67041065).

Almost surely, 2^6709606400 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 6709606400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9653913360).

6709606400 is an abundant number, since it is smaller than the sum of its proper divisors (12598220320).

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

6709606400 is a wasteful number, since it uses less digits than its factorization.

6709606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 6709606400 is about 81912.1871274354. The cubic root of 6709606400 is about 1886.1041967782.

The spelling of 6709606400 in words is "six billion, seven hundred nine million, six hundred six thousand, four hundred".