66429472 has 48 divisors (see below), whose sum is σ = 145787040. Its totient is φ = 29611008.

The previous prime is 66429469. The next prime is 66429479. The reversal of 66429472 is 27492466.

It is not an unprimeable number, because it can be changed into a prime (66429479) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7123 + ... + 13549.

It is an arithmetic number, because the mean of its divisors is an integer number (3037230).

Almost surely, 2^66429472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66429472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72893520).

66429472 is an abundant number, since it is smaller than the sum of its proper divisors (79357568).

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

66429472 is a wasteful number, since it uses less digits than its factorization.

66429472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6473 (or 6465 counting only the distinct ones).

The product of its digits is 145152, while the sum is 40.

The square root of 66429472 is about 8150.4277188378. The cubic root of 66429472 is about 404.9986729622.

The spelling of 66429472 in words is "sixty-six million, four hundred twenty-nine thousand, four hundred seventy-two".