66442464 has 96 divisors (see below), whose sum is σ = 211438080. Its totient is φ = 20131200.

The previous prime is 66442433. The next prime is 66442471. The reversal of 66442464 is 46424466.

66442464 = T₃₂ + T₃₃ + ... + T₇₃₅.

It is a happy number.

66442464 is a `hidden beast` number, since 6 + 644 + 2 + 4 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6009 + ... + 12999.

It is an arithmetic number, because the mean of its divisors is an integer number (2202480).

Almost surely, 2^66442464 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 66442464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105719040).

66442464 is an abundant number, since it is smaller than the sum of its proper divisors (144995616).

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

66442464 is a wasteful number, since it uses less digits than its factorization.

66442464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7021 (or 7007 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 66442464 is about 8151.2246932593. The cubic root of 66442464 is about 405.0250738934.

The spelling of 66442464 in words is "sixty-six million, four hundred forty-two thousand, four hundred sixty-four".