66441600 has 192 divisors, whose sum is σ = 243474000. Its totient is φ = 17694720.

The previous prime is 66441577. The next prime is 66441623. The reversal of 66441600 is 614466.

66441600 is a `hidden beast` number, since 6 + 644 + 16 + 0 + 0 = 666.

66441600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (66441577) and next prime (66441623).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 86016 + ... + 86784.

Almost surely, 2^66441600 is an apocalyptic number.

66441600 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 66441600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121737000).

66441600 is an abundant number, since it is smaller than the sum of its proper divisors (177032400).

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

66441600 is a wasteful number, since it uses less digits than its factorization.

66441600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 66441600 is about 8151.1716949160. The cubic root of 66441600 is about 405.0233182733.

The spelling of 66441600 in words is "sixty-six million, four hundred forty-one thousand, six hundred".