66730464 has 72 divisors (see below), whose sum is σ = 190702512. Its totient is φ = 22133760.

The previous prime is 66730463. The next prime is 66730481. The reversal of 66730464 is 46403766.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66730463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75304 + ... + 76184.

It is an arithmetic number, because the mean of its divisors is an integer number (2648646).

Almost surely, 2^66730464 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 66730464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95351256).

66730464 is an abundant number, since it is smaller than the sum of its proper divisors (123972048).

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

66730464 is a wasteful number, since it uses less digits than its factorization.

66730464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 66730464 is about 8168.8716479083. The cubic root of 66730464 is about 405.6094345576.

The spelling of 66730464 in words is "sixty-six million, seven hundred thirty thousand, four hundred sixty-four".