66742144 has 32 divisors (see below), whose sum is σ = 151959600. Its totient is φ = 28603392.

The previous prime is 66742141. The next prime is 66742199. The reversal of 66742144 is 44124766.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66742141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36349 + ... + 38140.

Almost surely, 2^66742144 is an apocalyptic number.

66742144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

66742144 is an abundant number, since it is smaller than the sum of its proper divisors (85217456).

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

66742144 is an equidigital number, since it uses as much as digits as its factorization.

66742144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74510 (or 74498 counting only the distinct ones).

The product of its digits is 32256, while the sum is 34.

The square root of 66742144 is about 8169.5865256450. The cubic root of 66742144 is about 405.6330981216.

The spelling of 66742144 in words is "sixty-six million, seven hundred forty-two thousand, one hundred forty-four".