6649910400 has 384 divisors, whose sum is σ = 26509196160. Its totient is φ = 1430323200.

The previous prime is 6649910389. The next prime is 6649910401. The reversal of 6649910400 is 40199466.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (6649910401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1139490 + ... + 1145310.

It is an arithmetic number, because the mean of its divisors is an integer number (69034365).

Almost surely, 2^6649910400 is an apocalyptic number.

6649910400 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 6649910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13254598080).

6649910400 is an abundant number, since it is smaller than the sum of its proper divisors (19859285760).

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

6649910400 is a wasteful number, since it uses less digits than its factorization.

6649910400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5872 (or 5855 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 6649910400 is about 81546.9827768017. The cubic root of 6649910400 is about 1880.4939097649.

The spelling of 6649910400 in words is "six billion, six hundred forty-nine million, nine hundred ten thousand, four hundred".