66429600 has 144 divisors (see below), whose sum is σ = 219360960. Its totient is φ = 17459200.

The previous prime is 66429593. The next prime is 66429607. The reversal of 66429600 is 692466.

66429600 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 (66429593) and next prime (66429607).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66429607) 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 23 ways as a sum of consecutive naturals, for example, 213445 + ... + 213755.

It is an arithmetic number, because the mean of its divisors is an integer number (1523340).

Almost surely, 2^66429600 is an apocalyptic number.

66429600 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 66429600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109680480).

66429600 is an abundant number, since it is smaller than the sum of its proper divisors (152931360).

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

66429600 is a wasteful number, since it uses less digits than its factorization.

66429600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 66429600 is about 8150.4355711827. The cubic root of 66429600 is about 404.9989330867.

The spelling of 66429600 in words is "sixty-six million, four hundred twenty-nine thousand, six hundred".