6665506400 has 144 divisors (see below), whose sum is σ = 18668242656. Its totient is φ = 2276536320.

The previous prime is 6665506399. The next prime is 6665506409. The reversal of 6665506400 is 46055666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6665506409) 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, 1549052 + ... + 1553348.

It is an arithmetic number, because the mean of its divisors is an integer number (129640574).

Almost surely, 2^6665506400 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 6665506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9334121328).

6665506400 is an abundant number, since it is smaller than the sum of its proper divisors (12002736256).

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

6665506400 is a wasteful number, since it uses less digits than its factorization.

6665506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The square root of 6665506400 is about 81642.5526303532. The cubic root of 6665506400 is about 1881.9628661536.

The spelling of 6665506400 in words is "six billion, six hundred sixty-five million, five hundred six thousand, four hundred".