6606662400 has 864 divisors, whose sum is σ = 27783846720. Its totient is φ = 1521745920.

The previous prime is 6606662369. The next prime is 6606662423. The reversal of 6606662400 is 42666066.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 38188714 + ... + 38188886.

It is an arithmetic number, because the mean of its divisors is an integer number (32157230).

Almost surely, 2^6606662400 is an apocalyptic number.

6606662400 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 6606662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13891923360).

6606662400 is an abundant number, since it is smaller than the sum of its proper divisors (21177184320).

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

6606662400 is a wasteful number, since it uses less digits than its factorization.

6606662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 6606662400 is about 81281.3779410758. The cubic root of 6606662400 is about 1876.4084137994.

The spelling of 6606662400 in words is "six billion, six hundred six million, six hundred sixty-two thousand, four hundred".