6609956400 has 300 divisors, whose sum is σ = 24491569344. Its totient is φ = 1705536000.

The previous prime is 6609956387. The next prime is 6609956411. The reversal of 6609956400 is 46599066.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-3 number, since 3×6609956400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1001110 + ... + 1007690.

Almost surely, 2^6609956400 is an apocalyptic number.

6609956400 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 6609956400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12245784672).

6609956400 is an abundant number, since it is smaller than the sum of its proper divisors (17881612944).

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

6609956400 is a wasteful number, since it uses less digits than its factorization.

6609956400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6642 (or 6622 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 6609956400 is about 81301.6383598756. The cubic root of 6609956400 is about 1876.7202133126.

The spelling of 6609956400 in words is "six billion, six hundred nine million, nine hundred fifty-six thousand, four hundred".