66429000 has 288 divisors, whose sum is σ = 250843320. Its totient is φ = 15840000.

The previous prime is 66428993. The next prime is 66429017. The reversal of 66429000 is 92466.

It can be written as a sum of positive squares in 4 ways, for example, as 4743684 + 61685316 = 2178^2 + 7854^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1088970 + ... + 1089030.

Almost surely, 2^66429000 is an apocalyptic number.

66429000 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 66429000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125421660).

66429000 is an abundant number, since it is smaller than the sum of its proper divisors (184414320).

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

66429000 is a wasteful number, since it uses less digits than its factorization.

66429000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 66429000 is about 8150.3987632508. The cubic root of 66429000 is about 404.9977137502.

The spelling of 66429000 in words is "sixty-six million, four hundred twenty-nine thousand".