6695840400 has 120 divisors (see below), whose sum is σ = 21529782720. Its totient is φ = 1778833920.

The previous prime is 6695840353. The next prime is 6695840401. The reversal of 6695840400 is 40485966.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (6695840401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312429 + ... + 333171.

It is an arithmetic number, because the mean of its divisors is an integer number (179414856).

Almost surely, 2^6695840400 is an apocalyptic number.

6695840400 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 6695840400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10764891360).

6695840400 is an abundant number, since it is smaller than the sum of its proper divisors (14833942320).

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

6695840400 is a wasteful number, since it uses less digits than its factorization.

6695840400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21033 (or 21022 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The square root of 6695840400 is about 81828.1149727892. The cubic root of 6695840400 is about 1884.8134162755.

The spelling of 6695840400 in words is "six billion, six hundred ninety-five million, eight hundred forty thousand, four hundred".